137309549153040 has 1280 divisors, whose sum is σ = 565547652633600. Its totient is φ = 30226916966400.

The previous prime is 137309549153017. The next prime is 137309549153041. The reversal of 137309549153040 is 40351945903731.

137309549153040 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 0 + 9 + 549 + 1 + 53 + 0 + 40 = 666.

It is a super-2 number, since 2×137309549153040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (137309549153041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20393513514 + ... + 20393520246.

It is an arithmetic number, because the mean of its divisors is an integer number (441834103620).

Almost surely, 2^{137309549153040} is an apocalyptic number.

137309549153040 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 137309549153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282773826316800).

137309549153040 is an abundant number, since it is smaller than the sum of its proper divisors (428238103480560).

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

137309549153040 is a wasteful number, since it uses less digits than its factorization.

137309549153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8553 (or 8541 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 137309549153040 in words is "one hundred thirty-seven trillion, three hundred nine billion, five hundred forty-nine million, one hundred fifty-three thousand, forty".