138307572 has 108 divisors (see below), whose sum is σ = 383685120. Its totient is φ = 41985216.

The previous prime is 138307541. The next prime is 138307601. The reversal of 138307572 is 275703831.

138307572 is a `hidden beast` number, since 1 + 3 + 83 + 0 + 7 + 572 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 772579 + ... + 772757.

It is an arithmetic number, because the mean of its divisors is an integer number (3552640).

Almost surely, 2^138307572 is an apocalyptic number.

138307572 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 138307572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191842560).

138307572 is an abundant number, since it is smaller than the sum of its proper divisors (245377548).

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

138307572 is a wasteful number, since it uses less digits than its factorization.

138307572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 138307572 is about 11760.4239719493. The cubic root of 138307572 is about 517.1485592578.

The spelling of 138307572 in words is "one hundred thirty-eight million, three hundred seven thousand, five hundred seventy-two".