137329792 has 64 divisors (see below), whose sum is σ = 284653440. Its totient is φ = 65940480.

The previous prime is 137329781. The next prime is 137329811. The reversal of 137329792 is 297923731.

It is a tau number, because it is divible by the number of its divisors (64).

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, 506617 + ... + 506887.

It is an arithmetic number, because the mean of its divisors is an integer number (4447710).

Almost surely, 2^137329792 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 137329792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142326720).

137329792 is an abundant number, since it is smaller than the sum of its proper divisors (147323648).

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

137329792 is a wasteful number, since it uses less digits than its factorization.

137329792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its digits is 142884, while the sum is 43.

The square root of 137329792 is about 11718.7794586296. The cubic root of 137329792 is about 515.9269972639.

The spelling of 137329792 in words is "one hundred thirty-seven million, three hundred twenty-nine thousand, seven hundred ninety-two".