137390952 has 32 divisors (see below), whose sum is σ = 345232800. Its totient is φ = 45562944.

The previous prime is 137390947. The next prime is 137390987. The reversal of 137390952 is 259093731.

It is a self number, because there is not a number n which added to its sum of digits gives 137390952.

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 7 ways as a sum of consecutive naturals, for example, 9802 + ... + 19257.

It is an arithmetic number, because the mean of its divisors is an integer number (10788525).

Almost surely, 2^137390952 is an apocalyptic number.

137390952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137390952 is an abundant number, since it is smaller than the sum of its proper divisors (207841848).

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

137390952 is a wasteful number, since it uses less digits than its factorization.

137390952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29265 (or 29261 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 137390952 is about 11721.3886549333. The cubic root of 137390952 is about 516.0035754815.

The spelling of 137390952 in words is "one hundred thirty-seven million, three hundred ninety thousand, nine hundred fifty-two".