138757536 has 240 divisors, whose sum is σ = 447866496. Its totient is φ = 41969664.

The previous prime is 138757529. The next prime is 138757579. The reversal of 138757536 is 635757831.

It is a junction number, because it is equal to n+sod(n) for n = 138757491 and 138757500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2070975 + ... + 2071041.

Almost surely, 2^138757536 is an apocalyptic number.

138757536 is a gapful number since it is divisible by the number (16) 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 138757536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223933248).

138757536 is an abundant number, since it is smaller than the sum of its proper divisors (309108960).

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

138757536 is a wasteful number, since it uses less digits than its factorization.

138757536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 138757536 is about 11779.5388704312. The cubic root of 138757536 is about 517.7087752457.

The spelling of 138757536 in words is "one hundred thirty-eight million, seven hundred fifty-seven thousand, five hundred thirty-six".