136612794240 has 1024 divisors, whose sum is σ = 559648051200. Its totient is φ = 31195791360.

The previous prime is 136612794229. The next prime is 136612794281. The reversal of 136612794240 is 42497216631.

136612794240 is a `hidden beast` number, since 1 + 3 + 6 + 612 + 7 + 9 + 4 + 24 + 0 = 666.

136612794240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 316966825 + ... + 316967255.

It is an arithmetic number, because the mean of its divisors is an integer number (546531300).

Almost surely, 2^136612794240 is an apocalyptic number.

136612794240 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 136612794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279824025600).

136612794240 is an abundant number, since it is smaller than the sum of its proper divisors (423035256960).

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

136612794240 is a wasteful number, since it uses less digits than its factorization.

136612794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 136612794240 in words is "one hundred thirty-six billion, six hundred twelve million, seven hundred ninety-four thousand, two hundred forty".