120131136 has 84 divisors (see below), whose sum is σ = 349173292. Its totient is φ = 39481344.

The previous prime is 120131111. The next prime is 120131159. The reversal of 120131136 is 631131021.

It can be written as a sum of positive squares in 2 ways, for example, as 74649600 + 45481536 = 8640^2 + 6744^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 40620 + ... + 43476.

Almost surely, 2^120131136 is an apocalyptic number.

120131136 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 120131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174586646).

120131136 is an abundant number, since it is smaller than the sum of its proper divisors (229042156).

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

120131136 is a wasteful number, since it uses less digits than its factorization.

120131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 120131136 is about 10960.4350278627. The cubic root of 120131136 is about 493.4220212277.

Adding to 120131136 its reverse (631131021), we get a palindrome (751262157).

The spelling of 120131136 in words is "one hundred twenty million, one hundred thirty-one thousand, one hundred thirty-six".