137531699303040 has 384 divisors, whose sum is σ = 561474860918400. Its totient is φ = 30351823036416.

The previous prime is 137531699303039. The next prime is 137531699303077. The reversal of 137531699303040 is 40303996135731.

It is a happy number.

137531699303040 is a `hidden beast` number, since 1 + 3 + 7 + 531 + 6 + 9 + 9 + 30 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57641142 + ... + 59979701.

It is an arithmetic number, because the mean of its divisors is an integer number (1462174116975).

Almost surely, 2^{137531699303040} is an apocalyptic number.

137531699303040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137531699303040 is an abundant number, since it is smaller than the sum of its proper divisors (423943161615360).

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

137531699303040 is a wasteful number, since it uses less digits than its factorization.

137531699303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117620904 (or 117620889 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 137531699303040 in words is "one hundred thirty-seven trillion, five hundred thirty-one billion, six hundred ninety-nine million, three hundred three thousand, forty".