136365120 has 140 divisors (see below), whose sum is σ = 485166924. Its totient is φ = 36357120.

The previous prime is 136365113. The next prime is 136365157. The reversal of 136365120 is 21563631.

136365120 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 651 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75898944 + 60466176 = 8712^2 + 7776^2 .

It is a super-2 number, since 2×136365120² = 37190891905228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23290 + ... + 28550.

Almost surely, 2^136365120 is an apocalyptic number.

136365120 is a gapful number since it is divisible by the number (10) 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 136365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242583462).

136365120 is an abundant number, since it is smaller than the sum of its proper divisors (348801804).

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

136365120 is an equidigital number, since it uses as much as digits as its factorization.

136365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 136365120 is about 11677.5476877639. The cubic root of 136365120 is about 514.7161158903.

The spelling of 136365120 in words is "one hundred thirty-six million, three hundred sixty-five thousand, one hundred twenty".