137331432 has 96 divisors (see below), whose sum is σ = 426703680. Its totient is φ = 39087360.

The previous prime is 137331419. The next prime is 137331437. The reversal of 137331432 is 234133731.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 137331396 and 137331405.

It is not an unprimeable number, because it can be changed into a prime (137331437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262323 + ... + 262845.

It is an arithmetic number, because the mean of its divisors is an integer number (4444830).

Almost surely, 2^137331432 is an apocalyptic number.

137331432 is a gapful number since it is divisible by the number (12) 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 137331432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213351840).

137331432 is an abundant number, since it is smaller than the sum of its proper divisors (289372248).

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

137331432 is a wasteful number, since it uses less digits than its factorization.

137331432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1056 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 137331432 is about 11718.8494315782. The cubic root of 137331432 is about 515.9290509987.

The spelling of 137331432 in words is "one hundred thirty-seven million, three hundred thirty-one thousand, four hundred thirty-two".