137313040 has 20 divisors (see below), whose sum is σ = 319253004. Its totient is φ = 54925184.

The previous prime is 137313017. The next prime is 137313067. The reversal of 137313040 is 40313731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38588944 + 98724096 = 6212^2 + 9936^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 858127 + ... + 858286.

Almost surely, 2^137313040 is an apocalyptic number.

137313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137313040 is an abundant number, since it is smaller than the sum of its proper divisors (181939964).

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

137313040 is a wasteful number, since it uses less digits than its factorization.

137313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716426 (or 1716420 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 137313040 is about 11718.0646866281. The cubic root of 137313040 is about 515.9060181780.

Adding to 137313040 its reverse (40313731), we get a palindrome (177626771).

The spelling of 137313040 in words is "one hundred thirty-seven million, three hundred thirteen thousand, forty".