136353920 has 64 divisors (see below), whose sum is σ = 327634200. Its totient is φ = 54263808.

The previous prime is 136353887. The next prime is 136353947. The reversal of 136353920 is 29353631.

It can be written as a sum of positive squares in 4 ways, for example, as 135117376 + 1236544 = 11624^2 + 1112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164066 + ... + 164894.

Almost surely, 2^136353920 is an apocalyptic number.

136353920 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 136353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163817100).

136353920 is an abundant number, since it is smaller than the sum of its proper divisors (191280280).

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

136353920 is an equidigital number, since it uses as much as digits as its factorization.

136353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 32.

The square root of 136353920 is about 11677.0681251759. The cubic root of 136353920 is about 514.7020238744.

The spelling of 136353920 in words is "one hundred thirty-six million, three hundred fifty-three thousand, nine hundred twenty".