137183428691904 has 112 divisors (see below), whose sum is σ = 432852060814848. Its totient is φ = 37491123360768.

The previous prime is 137183428691893. The next prime is 137183428691917. The reversal of 137183428691904 is 409196824381731.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×137183428691904² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2218903947 + ... + 2218965770.

Almost surely, 2^{137183428691904} is an apocalyptic number.

137183428691904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137183428691904 is an abundant number, since it is smaller than the sum of its proper divisors (295668632122944).

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

137183428691904 is a wasteful number, since it uses less digits than its factorization.

137183428691904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437869762 (or 4437869752 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 137183428691904 in words is "one hundred thirty-seven trillion, one hundred eighty-three billion, four hundred twenty-eight million, six hundred ninety-one thousand, nine hundred four".