136500480 has 324 divisors, whose sum is σ = 513929052. Its totient is φ = 33423360.

The previous prime is 136500479. The next prime is 136500491. The reversal of 136500480 is 84005631.

136500480 is a `hidden beast` number, since 1 + 3 + 650 + 0 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 136048896 = 672^2 + 11664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3329260 + ... + 3329300.

Almost surely, 2^136500480 is an apocalyptic number.

136500480 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 136500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256964526).

136500480 is an abundant number, since it is smaller than the sum of its proper divisors (377428572).

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

136500480 is a wasteful number, since it uses less digits than its factorization.

136500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 136500480 is about 11683.3419876335. The cubic root of 136500480 is about 514.8863669862.

The spelling of 136500480 in words is "one hundred thirty-six million, five hundred thousand, four hundred eighty".