138757056 has 56 divisors (see below), whose sum is σ = 368594640. Its totient is φ = 46067712.

The previous prime is 138757051. The next prime is 138757061. The reversal of 138757056 is 650757831.

It is an interprime number because it is at equal distance from previous prime (138757051) and next prime (138757061).

It is a junction number, because it is equal to n+sod(n) for n = 138756999 and 138757017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138757051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51880 + ... + 54488.

Almost surely, 2^138757056 is an apocalyptic number.

138757056 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 138757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184297320).

138757056 is an abundant number, since it is smaller than the sum of its proper divisors (229837584).

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

138757056 is a wasteful number, since it uses less digits than its factorization.

138757056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 138757056 is about 11779.5184961016. The cubic root of 138757056 is about 517.7081782799.

The spelling of 138757056 in words is "one hundred thirty-eight million, seven hundred fifty-seven thousand, fifty-six".