137632416 has 48 divisors (see below), whose sum is σ = 361922400. Its totient is φ = 45796608.

The previous prime is 137632373. The next prime is 137632433. The reversal of 137632416 is 614236731.

137632416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81630 + ... + 83298.

It is an arithmetic number, because the mean of its divisors is an integer number (7540050).

Almost surely, 2^137632416 is an apocalyptic number.

137632416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137632416 is an abundant number, since it is smaller than the sum of its proper divisors (224289984).

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

137632416 is a wasteful number, since it uses less digits than its factorization.

137632416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2533 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 137632416 is about 11731.6842780566. The cubic root of 137632416 is about 516.3056899081.

The spelling of 137632416 in words is "one hundred thirty-seven million, six hundred thirty-two thousand, four hundred sixteen".