37977045129 has 45 divisors (see below), whose sum is σ = 57866657277. Its totient is φ = 24821093736.

The previous prime is 37977045097. The next prime is 37977045151. The reversal of 37977045129 is 92154077973.

The square root of 37977045129 is 194877.

It is a perfect power (a square), and thus also a powerful number.

37977045129 is a `hidden beast` number, since 37 + 97 + 7 + 0 + 4 + 512 + 9 = 666.

It is not a de Polignac number, because 37977045129 - 2⁵ = 37977045097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37977045179) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 103479504 + ... + 103479870.

Almost surely, 2^37977045129 is an apocalyptic number.

37977045129 is the 194877-th square number.

37977045129 is the 97439-th centered octagonal number.

It is an amenable number.

37977045129 is a deficient number, since it is larger than the sum of its proper divisors (19889612148).

37977045129 is an frugal number, since it uses more digits than its factorization.

37977045129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 37977045129 in words is "thirty-seven billion, nine hundred seventy-seven million, forty-five thousand, one hundred twenty-nine".