136528506720 has 240 divisors, whose sum is σ = 507192341040. Its totient is φ = 34491350016.

The previous prime is 136528506707. The next prime is 136528506721. The reversal of 136528506720 is 27605825631.

136528506720 is a `hidden beast` number, since 1 + 3 + 6 + 528 + 50 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136528506721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30987 + ... + 523466.

It is an arithmetic number, because the mean of its divisors is an integer number (2113301421).

Almost surely, 2^136528506720 is an apocalyptic number.

136528506720 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 136528506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253596170520).

136528506720 is an abundant number, since it is smaller than the sum of its proper divisors (370663834320).

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

136528506720 is a wasteful number, since it uses less digits than its factorization.

136528506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554499 (or 554482 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 136528506720 in words is "one hundred thirty-six billion, five hundred twenty-eight million, five hundred six thousand, seven hundred twenty".