137052040 has 32 divisors (see below), whose sum is σ = 308934360. Its totient is φ = 54720000.

The previous prime is 137052037. The next prime is 137052049. The reversal of 137052040 is 40250731.

It can be written as a sum of positive squares in 4 ways, for example, as 136095556 + 956484 = 11666^2 + 978^2 .

It is not an unprimeable number, because it can be changed into a prime (137052049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21190 + ... + 26890.

Almost surely, 2^137052040 is an apocalyptic number.

137052040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137052040 is an abundant number, since it is smaller than the sum of its proper divisors (171882320).

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

137052040 is a wasteful number, since it uses less digits than its factorization.

137052040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 137052040 is about 11706.9227382776. The cubic root of 137052040 is about 515.5789385974.

The spelling of 137052040 in words is "one hundred thirty-seven million, fifty-two thousand, forty".