137972052 has 48 divisors (see below), whose sum is σ = 366441600. Its totient is φ = 44867520.

The previous prime is 137972047. The next prime is 137972123. The reversal of 137972052 is 250279731.

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

It is a junction number, because it is equal to n+sod(n) for n = 137971998 and 137972016.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11152 + ... + 20007.

It is an arithmetic number, because the mean of its divisors is an integer number (7634200).

Almost surely, 2^137972052 is an apocalyptic number.

137972052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137972052 is an abundant number, since it is smaller than the sum of its proper divisors (228469548).

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

137972052 is a wasteful number, since it uses less digits than its factorization.

137972052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31213 (or 31205 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 137972052 is about 11746.1505183613. The cubic root of 137972052 is about 516.7300375040.

The spelling of 137972052 in words is "one hundred thirty-seven million, nine hundred seventy-two thousand, fifty-two".