136796070787992 has 1024 divisors, whose sum is σ = 517448024064000. Its totient is φ = 32406287155200.

The previous prime is 136796070787969. The next prime is 136796070787993. The reversal of 136796070787992 is 299787070697631.

136796070787992 is a `hidden beast` number, since 1 + 367 + 96 + 0 + 7 + 0 + 7 + 87 + 9 + 92 = 666.

It is a super-2 number, since 2×136796070787992² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136796070787993) 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, 1890639688 + ... + 1890712040.

It is an arithmetic number, because the mean of its divisors is an integer number (505320336000).

Almost surely, 2^{136796070787992} is an apocalyptic number.

136796070787992 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 136796070787992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258724012032000).

136796070787992 is an abundant number, since it is smaller than the sum of its proper divisors (380651953276008).

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

136796070787992 is a wasteful number, since it uses less digits than its factorization.

136796070787992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72629 (or 72619 counting only the distinct ones).

The product of its (nonzero) digits is 3024568512, while the sum is 81.

The spelling of 136796070787992 in words is "one hundred thirty-six trillion, seven hundred ninety-six billion, seventy million, seven hundred eighty-seven thousand, nine hundred ninety-two".