120077527158 has 48 divisors (see below), whose sum is σ = 268641364992. Its totient is φ = 38723022000.

The previous prime is 120077527153. The next prime is 120077527181. The reversal of 120077527158 is 851725770021.

120077527158 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 77 + 527 + 1 + 58 = 666.

It is a super-2 number, since 2×120077527158² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120077527151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928493 + ... + 1989783.

It is an arithmetic number, because the mean of its divisors is an integer number (5596695104).

Almost surely, 2^120077527158 is an apocalyptic number.

120077527158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

120077527158 is an abundant number, since it is smaller than the sum of its proper divisors (148563837834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120077527158 is a wasteful number, since it uses less digits than its factorization.

120077527158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64841 (or 64838 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 120077527158 in words is "one hundred twenty billion, seventy-seven million, five hundred twenty-seven thousand, one hundred fifty-eight".