137965016 has 32 divisors (see below), whose sum is σ = 296762880. Its totient is φ = 58903200.

The previous prime is 137964991. The next prime is 137965021. The reversal of 137965016 is 610569731.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10631 + ... + 19721.

It is an arithmetic number, because the mean of its divisors is an integer number (9273840).

Almost surely, 2^137965016 is an apocalyptic number.

It is an amenable number.

137965016 is an abundant number, since it is smaller than the sum of its proper divisors (158797864).

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

137965016 is a wasteful number, since it uses less digits than its factorization.

137965016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9375 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 137965016 is about 11745.8510121660. The cubic root of 137965016 is about 516.7212536614.

The spelling of 137965016 in words is "one hundred thirty-seven million, nine hundred sixty-five thousand, sixteen".