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138745488 = 2437795227
BaseRepresentation
bin10000100010100…
…01011010010000
3100200002000000210
420101101122100
5241004323423
621433444120
73303213540
oct1021213220
9320060023
10138745488
11713555a2
123a570640
132298b32b
14145d9320
15c2a9b93
hex8451690

138745488 has 80 divisors (see below), whose sum is σ = 414894080. Its totient is φ = 39132288.

The previous prime is 138745487. The next prime is 138745493. The reversal of 138745488 is 884547831.

138745488 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (138745487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23931 + ... + 29157.

It is an arithmetic number, because the mean of its divisors is an integer number (5186176).

Almost surely, 2138745488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138745488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207447040).

138745488 is an abundant number, since it is smaller than the sum of its proper divisors (276148592).

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

138745488 is a wasteful number, since it uses less digits than its factorization.

138745488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5318 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 138745488 is about 11779.0274640991. The cubic root of 138745488 is about 517.6937909884.

The spelling of 138745488 in words is "one hundred thirty-eight million, seven hundred forty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3792 4424 5227 6636 8848 10454 13272 15681 20908 26544 31362 36589 41816 62724 73178 83632 109767 125448 146356 219534 250896 292712 412933 439068 585424 825866 878136 1238799 1651732 1756272 2477598 2890531 3303464 4955196 5781062 6606928 8671593 9910392 11562124 17343186 19820784 23124248 34686372 46248496 69372744 138745488