137375232 has 80 divisors (see below), whose sum is σ = 387577872. Its totient is φ = 43089920.

The previous prime is 137375213. The next prime is 137375237. The reversal of 137375232 is 232573731.

It is a junction number, because it is equal to n+sod(n) for n = 137375193 and 137375202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137375237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23482 + ... + 28742.

Almost surely, 2^137375232 is an apocalyptic number.

137375232 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 137375232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193788936).

137375232 is an abundant number, since it is smaller than the sum of its proper divisors (250202640).

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

137375232 is an equidigital number, since it uses as much as digits as its factorization.

137375232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5283 counting only the distinct ones).

The product of its digits is 26460, while the sum is 33.

The square root of 137375232 is about 11720.7180667398. The cubic root of 137375232 is about 515.9838946959.

The spelling of 137375232 in words is "one hundred thirty-seven million, three hundred seventy-five thousand, two hundred thirty-two".