136356480 has 256 divisors, whose sum is σ = 520934400. Its totient is φ = 33509376.

The previous prime is 136356469. The next prime is 136356499. The reversal of 136356480 is 84653631.

136356480 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 5 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224337 + ... + 224943.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 2^136356480 is an apocalyptic number.

136356480 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 136356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

136356480 is an abundant number, since it is smaller than the sum of its proper divisors (384577920).

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

136356480 is a wasteful number, since it uses less digits than its factorization.

136356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 136356480 is about 11677.1777412181. The cubic root of 136356480 is about 514.7052449746.

The spelling of 136356480 in words is "one hundred thirty-six million, three hundred fifty-six thousand, four hundred eighty".