136457686800 has 150 divisors (see below), whose sum is σ = 489735803898. Its totient is φ = 36388707840.

The previous prime is 136457686763. The next prime is 136457686819. The reversal of 136457686800 is 8686754631.

136457686800 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 576 + 8 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18704391696 + 117753295104 = 136764^2 + 343152^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 2073429 + ... + 2138228.

Almost surely, 2^136457686800 is an apocalyptic number.

136457686800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136457686800 is an abundant number, since it is smaller than the sum of its proper divisors (353278117098).

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

136457686800 is a wasteful number, since it uses less digits than its factorization.

136457686800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211687 (or 4211667 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 136457686800 in words is "one hundred thirty-six billion, four hundred fifty-seven million, six hundred eighty-six thousand, eight hundred".