136609974144000 has 2816 divisors, whose sum is σ = 623540436480000. Its totient is φ = 29384028979200.

The previous prime is 136609974143977. The next prime is 136609974144001. The reversal of 136609974144000 is 441479906631.

136609974144000 is a `hidden beast` number, since 13 + 6 + 60 + 9 + 97 + 41 + 440 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (136609974144001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20151932611 + ... + 20151939389.

Almost surely, 2^{136609974144000} is an apocalyptic number.

136609974144000 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 136609974144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311770218240000).

136609974144000 is an abundant number, since it is smaller than the sum of its proper divisors (486930462336000).

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

136609974144000 is an equidigital number, since it uses as much as digits as its factorization.

136609974144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 136609974144000 in words is "one hundred thirty-six trillion, six hundred nine billion, nine hundred seventy-four million, one hundred forty-four thousand".