136564480 has 144 divisors (see below), whose sum is σ = 365712480. Its totient is φ = 48513024.

The previous prime is 136564471. The next prime is 136564489. The reversal of 136564480 is 84465631.

It is a happy number.

136564480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136564471) and next prime (136564489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136564489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482419 + ... + 482701.

It is an arithmetic number, because the mean of its divisors is an integer number (2539670).

Almost surely, 2^136564480 is an apocalyptic number.

136564480 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 136564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182856240).

136564480 is an abundant number, since it is smaller than the sum of its proper divisors (229148000).

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

136564480 is a wasteful number, since it uses less digits than its factorization.

136564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 136564480 is about 11686.0806089980. The cubic root of 136564480 is about 514.9668247709.

The spelling of 136564480 in words is "one hundred thirty-six million, five hundred sixty-four thousand, four hundred eighty".