136451508300 has 216 divisors, whose sum is σ = 434260226400. Its totient is φ = 35833052160.

The previous prime is 136451508299. The next prime is 136451508301. The reversal of 136451508300 is 3805154631.

136451508300 is a `hidden beast` number, since 1 + 3 + 64 + 515 + 0 + 83 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136451508299) and next prime (136451508301).

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

It is not an unprimeable number, because it can be changed into a prime (136451508301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16378536 + ... + 16386864.

Almost surely, 2^136451508300 is an apocalyptic number.

136451508300 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 136451508300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217130113200).

136451508300 is an abundant number, since it is smaller than the sum of its proper divisors (297808718100).

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

136451508300 is a wasteful number, since it uses less digits than its factorization.

136451508300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8625 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 136451508300 in words is "one hundred thirty-six billion, four hundred fifty-one million, five hundred eight thousand, three hundred".