138878152 has 48 divisors (see below), whose sum is σ = 310334220. Its totient is φ = 58060800.

The previous prime is 138878137. The next prime is 138878161. The reversal of 138878152 is 251878831.

It can be written as a sum of positive squares in 2 ways, for example, as 95765796 + 43112356 = 9786^2 + 6566^2 .

It is a super-2 number, since 2×138878152² = 38574282205870208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138878099 and 138878108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11752 + ... + 20392.

Almost surely, 2^138878152 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 138878152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155167110).

138878152 is an abundant number, since it is smaller than the sum of its proper divisors (171456068).

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

138878152 is a wasteful number, since it uses less digits than its factorization.

138878152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702 (or 8691 counting only the distinct ones).

The product of its digits is 107520, while the sum is 43.

The square root of 138878152 is about 11784.6574833552. The cubic root of 138878152 is about 517.8587391777.

The spelling of 138878152 in words is "one hundred thirty-eight million, eight hundred seventy-eight thousand, one hundred fifty-two".