137552401116039 has 288 divisors, whose sum is σ = 237224639232000. Its totient is φ = 70636425560064.

The previous prime is 137552401115989. The next prime is 137552401116071. The reversal of 137552401116039 is 930611104255731.

It is not a de Polignac number, because 137552401116039 - 2⁷ = 137552401115911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137552401114039) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 87780727434 + ... + 87780729000.

It is an arithmetic number, because the mean of its divisors is an integer number (823696664000).

Almost surely, 2^{137552401116039} is an apocalyptic number.

137552401116039 is a deficient number, since it is larger than the sum of its proper divisors (99672238115961).

137552401116039 is a wasteful number, since it uses less digits than its factorization.

137552401116039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 137552401116039 in words is "one hundred thirty-seven trillion, five hundred fifty-two billion, four hundred one million, one hundred sixteen thousand, thirty-nine".