77137101 has 48 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 47114496.

The previous prime is 77137087. The next prime is 77137117. The reversal of 77137101 is 10173177.

It is not a de Polignac number, because 77137101 - 2⁶ = 77137037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77137121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866665 + ... + 866753.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2^77137101 is an apocalyptic number.

It is an amenable number.

77137101 is a deficient number, since it is larger than the sum of its proper divisors (44168499).

77137101 is a wasteful number, since it uses less digits than its factorization.

77137101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1029, while the sum is 27.

The square root of 77137101 is about 8782.7729675769. The cubic root of 77137101 is about 425.6844353465.

The spelling of 77137101 in words is "seventy-seven million, one hundred thirty-seven thousand, one hundred one".