137305332 has 36 divisors (see below), whose sum is σ = 349221600. Its totient is φ = 45485712.

The previous prime is 137305319. The next prime is 137305387. The reversal of 137305332 is 233503731.

137305332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 137305296 and 137305305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5832 + ... + 17567.

It is an arithmetic number, because the mean of its divisors is an integer number (9700600).

Almost surely, 2^137305332 is an apocalyptic number.

137305332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137305332 is an abundant number, since it is smaller than the sum of its proper divisors (211916268).

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

137305332 is a wasteful number, since it uses less digits than its factorization.

137305332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23572 (or 23567 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 137305332 is about 11717.7357881120. The cubic root of 137305332 is about 515.8963646204.

The spelling of 137305332 in words is "one hundred thirty-seven million, three hundred five thousand, three hundred thirty-two".