137162432 has 112 divisors (see below), whose sum is σ = 318650112. Its totient is φ = 57953280.

The previous prime is 137162419. The next prime is 137162447. The reversal of 137162432 is 234261731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 137162395 and 137162404.

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, 696158 + ... + 696354.

Almost surely, 2^137162432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159325056).

137162432 is an abundant number, since it is smaller than the sum of its proper divisors (181487680).

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

137162432 is a wasteful number, since it uses less digits than its factorization.

137162432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 137162432 is about 11711.6366063843. The cubic root of 137162432 is about 515.7173301057.

The spelling of 137162432 in words is "one hundred thirty-seven million, one hundred sixty-two thousand, four hundred thirty-two".