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138132372 = 22372347677
BaseRepresentation
bin10000011101110…
…11101110010100
3100121220211222210
420032323232110
5240330213442
621412353420
73265051200
oct1016735624
9317824883
10138132372
1170a76994
123a315870
1322805241
14144b9b00
15c1d819c
hex83bbb94

138132372 has 72 divisors (see below), whose sum is σ = 376566624. Its totient is φ = 39294528.

The previous prime is 138132367. The next prime is 138132409. The reversal of 138132372 is 273231831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203698 + ... + 204374.

It is an arithmetic number, because the mean of its divisors is an integer number (5230092).

Almost surely, 2138132372 is an apocalyptic number.

138132372 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 138132372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188283312).

138132372 is an abundant number, since it is smaller than the sum of its proper divisors (238434252).

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

138132372 is a wasteful number, since it uses less digits than its factorization.

138132372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1036 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 138132372 is about 11752.9729005048. The cubic root of 138132372 is about 516.9301024018.

The spelling of 138132372 in words is "one hundred thirty-eight million, one hundred thirty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 347 588 677 694 1041 1354 1388 2031 2082 2429 2708 4062 4164 4739 4858 7287 8124 9478 9716 14217 14574 17003 18956 28434 29148 33173 34006 51009 56868 66346 68012 99519 102018 132692 199038 204036 234919 398076 469838 704757 939676 1409514 1644433 2819028 3288866 4933299 6577732 9866598 11511031 19733196 23022062 34533093 46044124 69066186 138132372