138485952 has 126 divisors (see below), whose sum is σ = 436531004. Its totient is φ = 41944320.

The previous prime is 138485947. The next prime is 138485969. The reversal of 138485952 is 259584831.

138485952 is a `hidden beast` number, since 13 + 8 + 48 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138485898 and 138485907.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68703 + ... + 70689.

Almost surely, 2^138485952 is an apocalyptic number.

138485952 is a gapful number since it is divisible by the number (12) 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 138485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218265502).

138485952 is an abundant number, since it is smaller than the sum of its proper divisors (298045052).

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

138485952 is a wasteful number, since it uses less digits than its factorization.

138485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2003 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 138485952 is about 11768.0054384760. The cubic root of 138485952 is about 517.3707917989.

The spelling of 138485952 in words is "one hundred thirty-eight million, four hundred eighty-five thousand, nine hundred fifty-two".