120557136 has 60 divisors (see below), whose sum is σ = 356525792. Its totient is φ = 34387392.

The previous prime is 120557113. The next prime is 120557141. The reversal of 120557136 is 631755021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200965 + ... + 201563.

Almost surely, 2^120557136 is an apocalyptic number.

120557136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120557136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178262896).

120557136 is an abundant number, since it is smaller than the sum of its proper divisors (235968656).

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

120557136 is an frugal number, since it uses more digits than its factorization.

120557136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 120557136 is about 10979.8513651142. The cubic root of 120557136 is about 494.0045785170.

It can be divided in two parts, 12055 and 7136, that added together give a palindrome (19191).

The spelling of 120557136 in words is "one hundred twenty million, five hundred fifty-seven thousand, one hundred thirty-six".