138438756 has 81 divisors (see below), whose sum is σ = 366569931. Its totient is φ = 44051904.

The previous prime is 138438749. The next prime is 138438757. The reversal of 138438756 is 657834831.

The square root of 138438756 is 11766.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 55264356 + 83174400 = 7434^2 + 9120^2 .

It is not an unprimeable number, because it can be changed into a prime (138438757) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2612026 + ... + 2612078.

Almost surely, 2^138438756 is an apocalyptic number.

138438756 is the 11766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138438756

138438756 is an abundant number, since it is smaller than the sum of its proper divisors (228131175).

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

138438756 is a wasteful number, since it uses less digits than its factorization.

138438756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 95 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The cubic root of 138438756 is about 517.3120118145.

The spelling of 138438756 in words is "one hundred thirty-eight million, four hundred thirty-eight thousand, seven hundred fifty-six".