136125426816 has 192 divisors, whose sum is σ = 421790522400. Its totient is φ = 41981829120.

The previous prime is 136125426751. The next prime is 136125426823. The reversal of 136125426816 is 618624521631.

136125426816 is a `hidden beast` number, since 1 + 3 + 612 + 5 + 4 + 26 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096551 + ... + 1214361.

Almost surely, 2^136125426816 is an apocalyptic number.

136125426816 is a gapful number since it is divisible by the number (16) 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 136125426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210895261200).

136125426816 is an abundant number, since it is smaller than the sum of its proper divisors (285665095584).

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

136125426816 is a wasteful number, since it uses less digits than its factorization.

136125426816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117907 (or 117892 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 136125426816 in words is "one hundred thirty-six billion, one hundred twenty-five million, four hundred twenty-six thousand, eight hundred sixteen".