137305696 has 48 divisors (see below), whose sum is σ = 304432128. Its totient is φ = 60393600.

The previous prime is 137305681. The next prime is 137305703. The reversal of 137305696 is 696503731.

It is a congruent number.

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, 4621 + ... + 17203.

It is an arithmetic number, because the mean of its divisors is an integer number (6342336).

Almost surely, 2^137305696 is an apocalyptic number.

137305696 is a gapful number since it is divisible by the number (16) 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 137305696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152216064).

137305696 is an abundant number, since it is smaller than the sum of its proper divisors (167126432).

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

137305696 is a wasteful number, since it uses less digits than its factorization.

137305696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12635 (or 12627 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 137305696 is about 11717.7513201126. The cubic root of 137305696 is about 515.8968205049.

The spelling of 137305696 in words is "one hundred thirty-seven million, three hundred five thousand, six hundred ninety-six".