137329332 has 72 divisors (see below), whose sum is σ = 389089344. Its totient is φ = 36922368.

The previous prime is 137329331. The next prime is 137329333. The reversal of 137329332 is 233923731.

It is an interprime number because it is at equal distance from previous prime (137329331) and next prime (137329333).

It is a junction number, because it is equal to n+sod(n) for n = 137329293 and 137329302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137329331) 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, 21448 + ... + 27104.

Almost surely, 2^137329332 is an apocalyptic number.

137329332 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 137329332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194544672).

137329332 is an abundant number, since it is smaller than the sum of its proper divisors (251760012).

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

137329332 is a wasteful number, since it uses less digits than its factorization.

137329332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5686 counting only the distinct ones).

The product of its digits is 20412, while the sum is 33.

The square root of 137329332 is about 11718.7598319959. The cubic root of 137329332 is about 515.9264212134.

The spelling of 137329332 in words is "one hundred thirty-seven million, three hundred twenty-nine thousand, three hundred thirty-two".