137640960 has 264 divisors, whose sum is σ = 498157920. Its totient is φ = 35094528.

The previous prime is 137640953. The next prime is 137640973. The reversal of 137640960 is 69046731.

137640960 is a `hidden beast` number, since 1 + 3 + 7 + 640 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336269 + ... + 1336371.

Almost surely, 2^137640960 is an apocalyptic number.

137640960 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 137640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249078960).

137640960 is an abundant number, since it is smaller than the sum of its proper divisors (360516960).

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

137640960 is a wasteful number, since it uses less digits than its factorization.

137640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 137640960 is about 11732.0484144927. The cubic root of 137640960 is about 516.3163734972.

The spelling of 137640960 in words is "one hundred thirty-seven million, six hundred forty thousand, nine hundred sixty".