136396329245568 has 1280 divisors, whose sum is σ = 479633026752000. Its totient is φ = 38457648488448.

The previous prime is 136396329245537. The next prime is 136396329245591. The reversal of 136396329245568 is 865542923693631.

136396329245568 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 9 + 6 + 32 + 9 + 24 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 136396329245496 and 136396329245505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 132039040380 + ... + 132039041412.

It is an arithmetic number, because the mean of its divisors is an integer number (374713302150).

Almost surely, 2^{136396329245568} is an apocalyptic number.

136396329245568 is a gapful number since it is divisible by the number (18) 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 136396329245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239816513376000).

136396329245568 is an abundant number, since it is smaller than the sum of its proper divisors (343236697506432).

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

136396329245568 is a wasteful number, since it uses less digits than its factorization.

136396329245568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1499 counting only the distinct ones).

The product of its digits is 1511654400, while the sum is 72.

The spelling of 136396329245568 in words is "one hundred thirty-six trillion, three hundred ninety-six billion, three hundred twenty-nine million, two hundred forty-five thousand, five hundred sixty-eight".