137753904004 has 12 divisors (see below), whose sum is σ = 241371808524. Its totient is φ = 68790530144.

The previous prime is 137753903983. The next prime is 137753904049. The reversal of 137753904004 is 400409357731.

It can be written as a sum of positive squares in 2 ways, for example, as 108478009600 + 29275894404 = 329360^2 + 171102^2 .

It is a super-2 number, since 2×137753904004² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 21601879 + ... + 21608254.

It is an arithmetic number, because the mean of its divisors is an integer number (20114317377).

Almost surely, 2^137753904004 is an apocalyptic number.

It is an amenable number.

137753904004 is a deficient number, since it is larger than the sum of its proper divisors (103617904520).

137753904004 is a wasteful number, since it uses less digits than its factorization.

137753904004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43210934 (or 43210932 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 137753904004 in words is "one hundred thirty-seven billion, seven hundred fifty-three million, nine hundred four thousand, four".