77013135 has 24 divisors (see below), whose sum is σ = 133701984. Its totient is φ = 41008320.

The previous prime is 77013107. The next prime is 77013149. The reversal of 77013135 is 53131077.

It is not a de Polignac number, because 77013135 - 2⁵ = 77013103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77013099 and 77013108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43365 + ... + 45105.

It is an arithmetic number, because the mean of its divisors is an integer number (5570916).

Almost surely, 2^77013135 is an apocalyptic number.

77013135 is a deficient number, since it is larger than the sum of its proper divisors (56688849).

77013135 is a wasteful number, since it uses less digits than its factorization.

77013135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 77013135 is about 8775.7127915629. The cubic root of 77013135 is about 425.4562758307.

The spelling of 77013135 in words is "seventy-seven million, thirteen thousand, one hundred thirty-five".