77107137 has 16 divisors (see below), whose sum is σ = 107189760. Its totient is φ = 49248000.

The previous prime is 77107123. The next prime is 77107157. The reversal of 77107137 is 73170177.

It is not a de Polignac number, because 77107137 - 2⁸ = 77106881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77107098 and 77107107.

It is not an unprimeable number, because it can be changed into a prime (77107117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5289 + ... + 13497.

It is an arithmetic number, because the mean of its divisors is an integer number (6699360).

Almost surely, 2^77107137 is an apocalyptic number.

It is an amenable number.

77107137 is a deficient number, since it is larger than the sum of its proper divisors (30082623).

77107137 is a wasteful number, since it uses less digits than its factorization.

77107137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344.

The product of its (nonzero) digits is 7203, while the sum is 33.

The square root of 77107137 is about 8781.0669625052. The cubic root of 77107137 is about 425.6293089970.

The spelling of 77107137 in words is "seventy-seven million, one hundred seven thousand, one hundred thirty-seven".