137144404807740 has 72 divisors (see below), whose sum is σ = 453823303188528. Its totient is φ = 33247128437760.

The previous prime is 137144404807699. The next prime is 137144404807831. The reversal of 137144404807740 is 47708404441731.

It is a happy number.

137144404807740 is a `hidden beast` number, since 1 + 3 + 7 + 14 + 4 + 40 + 480 + 77 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34632423477 + ... + 34632427436.

It is an arithmetic number, because the mean of its divisors is an integer number (6303101433174).

Almost surely, 2^{137144404807740} is an apocalyptic number.

137144404807740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137144404807740 is an abundant number, since it is smaller than the sum of its proper divisors (316678898380788).

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

137144404807740 is a wasteful number, since it uses less digits than its factorization.

137144404807740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69264850939 (or 69264850934 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 137144404807740 in words is "one hundred thirty-seven trillion, one hundred forty-four billion, four hundred four million, eight hundred seven thousand, seven hundred forty".