137932416 has 128 divisors (see below), whose sum is σ = 411998400. Its totient is φ = 45425664.

The previous prime is 137932391. The next prime is 137932477. The reversal of 137932416 is 614239731.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369606 + ... + 369978.

Almost surely, 2^137932416 is an apocalyptic number.

137932416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137932416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205999200).

137932416 is an abundant number, since it is smaller than the sum of its proper divisors (274065984).

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

137932416 is a wasteful number, since it uses less digits than its factorization.

137932416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 485 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 137932416 is about 11744.4632061240. The cubic root of 137932416 is about 516.6805514594.

The spelling of 137932416 in words is "one hundred thirty-seven million, nine hundred thirty-two thousand, four hundred sixteen".