38177808137 has 32 divisors (see below), whose sum is σ = 46256640000. Its totient is φ = 30780642816.

The previous prime is 38177808121. The next prime is 38177808167. The reversal of 38177808137 is 73180877183.

It is not a de Polignac number, because 38177808137 - 2⁴ = 38177808121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38177808167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12045689 + ... + 12048857.

It is an arithmetic number, because the mean of its divisors is an integer number (1445520000).

Almost surely, 2^38177808137 is an apocalyptic number.

It is an amenable number.

38177808137 is a deficient number, since it is larger than the sum of its proper divisors (8078831863).

38177808137 is a wasteful number, since it uses less digits than its factorization.

38177808137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813.

The product of its (nonzero) digits is 1580544, while the sum is 53.

The spelling of 38177808137 in words is "thirty-eight billion, one hundred seventy-seven million, eight hundred eight thousand, one hundred thirty-seven".