136147912992 has 480 divisors, whose sum is σ = 499622884992. Its totient is φ = 35410784256.

The previous prime is 136147912987. The next prime is 136147913023. The reversal of 136147912992 is 299219741631.

136147912992 is a `hidden beast` number, since 1 + 3 + 61 + 479 + 1 + 29 + 92 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17214703 + ... + 17222609.

Almost surely, 2^136147912992 is an apocalyptic number.

136147912992 is a gapful number since it is divisible by the number (12) 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 136147912992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249811442496).

136147912992 is an abundant number, since it is smaller than the sum of its proper divisors (363474972000).

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

136147912992 is a wasteful number, since it uses less digits than its factorization.

136147912992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8005 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 136147912992 in words is "one hundred thirty-six billion, one hundred forty-seven million, nine hundred twelve thousand, nine hundred ninety-two".