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138871152 = 24337192417
BaseRepresentation
bin10000100011100…
…00000101110000
3100200022101102000
420101300011300
5241022334102
621440254000
73304246110
oct1021600560
9320271360
10138871152
1171430a52
123a611300
1322a035a4
141462d040
15c2d201c
hex8470170

138871152 has 160 divisors (see below), whose sum is σ = 479731200. Its totient is φ = 37573632.

The previous prime is 138871151. The next prime is 138871153. The reversal of 138871152 is 251178831.

It is an interprime number because it is at equal distance from previous prime (138871151) and next prime (138871153).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138871151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56248 + ... + 58664.

It is an arithmetic number, because the mean of its divisors is an integer number (2998320).

Almost surely, 2138871152 is an apocalyptic number.

138871152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138871152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239865600).

138871152 is an abundant number, since it is smaller than the sum of its proper divisors (340860048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138871152 is a wasteful number, since it uses less digits than its factorization.

138871152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2448 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 138871152 is about 11784.3604832846. The cubic root of 138871152 is about 517.8500383321.

The spelling of 138871152 in words is "one hundred thirty-eight million, eight hundred seventy-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2417 2736 3024 3192 3591 4104 4788 4834 6384 7182 7251 8208 9576 9668 14364 14502 16919 19152 19336 21753 28728 29004 33838 38672 43506 45923 50757 57456 58008 65259 67676 87012 91846 101514 116016 130518 135352 137769 152271 174024 183692 203028 261036 270704 275538 304542 321461 348048 367384 406056 413307 456813 522072 551076 609084 642922 734768 812112 826614 913626 964383 1044144 1102152 1218168 1239921 1285844 1653228 1827252 1928766 2204304 2436336 2479842 2571688 2893149 3306456 3654504 3857532 4959684 5143376 5786298 6612912 7309008 7715064 8679447 9919368 11572596 15430128 17358894 19838736 23145192 34717788 46290384 69435576 138871152