137064960 has 200 divisors, whose sum is σ = 491666076. Its totient is φ = 36495360.

The previous prime is 137064953. The next prime is 137064997. The reversal of 137064960 is 69460731.

137064960 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 649 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136048896 + 1016064 = 11664^2 + 1008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207030 + ... + 207690.

Almost surely, 2^137064960 is an apocalyptic number.

137064960 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 137064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245833038).

137064960 is an abundant number, since it is smaller than the sum of its proper divisors (354601116).

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

137064960 is an frugal number, since it uses more digits than its factorization.

137064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 671 counting only the distinct ones).

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

The square root of 137064960 is about 11707.4745355264. The cubic root of 137064960 is about 515.5951394278.

The spelling of 137064960 in words is "one hundred thirty-seven million, sixty-four thousand, nine hundred sixty".