136427626211968 has 768 divisors, whose sum is σ = 362103376803840. Its totient is φ = 50806776545280.

The previous prime is 136427626211803. The next prime is 136427626211977. The reversal of 136427626211968 is 869112626724631.

It is a super-2 number, since 2×136427626211968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32077972530 + ... + 32077976782.

It is an arithmetic number, because the mean of its divisors is an integer number (471488771880).

Almost surely, 2^{136427626211968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136427626211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181051688401920).

136427626211968 is an abundant number, since it is smaller than the sum of its proper divisors (225675750591872).

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

136427626211968 is an frugal number, since it uses more digits than its factorization.

136427626211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4343 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 64.

The spelling of 136427626211968 in words is "one hundred thirty-six trillion, four hundred twenty-seven billion, six hundred twenty-six million, two hundred eleven thousand, nine hundred sixty-eight".