136122494976 has 416 divisors, whose sum is σ = 440586681920. Its totient is φ = 41278242816.

The previous prime is 136122494957. The next prime is 136122494999. The reversal of 136122494976 is 679494221631.

136122494976 is a `hidden beast` number, since 1 + 3 + 61 + 2 + 2 + 494 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×136122494976² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104951160 + ... + 104952456.

Almost surely, 2^136122494976 is an apocalyptic number.

136122494976 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 136122494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220293340960).

136122494976 is an abundant number, since it is smaller than the sum of its proper divisors (304464186944).

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

136122494976 is a wasteful number, since it uses less digits than its factorization.

136122494976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1388 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 136122494976 in words is "one hundred thirty-six billion, one hundred twenty-two million, four hundred ninety-four thousand, nine hundred seventy-six".