137128432 has 40 divisors (see below), whose sum is σ = 306615296. Its totient is φ = 58193856.

The previous prime is 137128429. The next prime is 137128447. The reversal of 137128432 is 234821731.

It is a junction number, because it is equal to n+sod(n) for n = 137128394 and 137128403.

It is a congruent number.

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, 5593 + ... + 17479.

Almost surely, 2^137128432 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 137128432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153307648).

137128432 is an abundant number, since it is smaller than the sum of its proper divisors (169486864).

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

137128432 is a wasteful number, since it uses less digits than its factorization.

137128432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12005 (or 11999 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 137128432 is about 11710.1849686502. The cubic root of 137128432 is about 515.6747143593.

The spelling of 137128432 in words is "one hundred thirty-seven million, one hundred twenty-eight thousand, four hundred thirty-two".