137080640 has 56 divisors (see below), whose sum is σ = 329671680. Its totient is φ = 54286848.

The previous prime is 137080637. The next prime is 137080681. The reversal of 137080640 is 46080731.

It is a super-2 number, since 2×137080640² = 37582203725619200, which contains 22 as substring.

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, 30881 + ... + 35039.

Almost surely, 2^137080640 is an apocalyptic number.

137080640 is a gapful number since it is divisible by the number (10) 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 137080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164835840).

137080640 is an abundant number, since it is smaller than the sum of its proper divisors (192591040).

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

137080640 is a wasteful number, since it uses less digits than its factorization.

137080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 137080640 is about 11708.1441740354. The cubic root of 137080640 is about 515.6147997492.

Subtracting from 137080640 its reverse (46080731), we obtain a palindrome (90999909).

The spelling of 137080640 in words is "one hundred thirty-seven million, eighty thousand, six hundred forty".