137532960 has 144 divisors (see below), whose sum is σ = 473218200. Its totient is φ = 36372480.

The previous prime is 137532937. The next prime is 137532961. The reversal of 137532960 is 69235731.

137532960 is a `hidden beast` number, since 1 + 37 + 532 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111767184 + 25765776 = 10572^2 + 5076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (137532961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214240 + ... + 214880.

Almost surely, 2^137532960 is an apocalyptic number.

137532960 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 137532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236609100).

137532960 is an abundant number, since it is smaller than the sum of its proper divisors (335685240).

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

137532960 is a wasteful number, since it uses less digits than its factorization.

137532960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 137532960 is about 11727.4447344679. Note that the first 3 decimals coincide. The cubic root of 137532960 is about 516.1812955880.

The spelling of 137532960 in words is "one hundred thirty-seven million, five hundred thirty-two thousand, nine hundred sixty".