137516416 has 32 divisors (see below), whose sum is σ = 274635000. Its totient is φ = 68588544.

The previous prime is 137516411. The next prime is 137516429. The reversal of 137516416 is 614615731.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137516411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62796 + ... + 64948.

Almost surely, 2^137516416 is an apocalyptic number.

137516416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137516416 is a deficient number, since it is larger than the sum of its proper divisors (137118584).

137516416 is an equidigital number, since it uses as much as digits as its factorization.

137516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2654 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 137516416 is about 11726.7393592592. The cubic root of 137516416 is about 516.1605974082.

The spelling of 137516416 in words is "one hundred thirty-seven million, five hundred sixteen thousand, four hundred sixteen".