136658799406080 has 1584 divisors, whose sum is σ = 604835809826976. Its totient is φ = 29398644817920.

The previous prime is 136658799405899. The next prime is 136658799406127. The reversal of 136658799406080 is 80604997856631.

136658799406080 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 5 + 8 + 7 + 9 + 9 + 4 + 0 + 608 + 0 = 666.

It is a super-2 number, since 2×136658799406080² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1036319350 + ... + 1036451210.

Almost surely, 2^{136658799406080} is an apocalyptic number.

136658799406080 is a gapful number since it is divisible by the number (10) 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 136658799406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302417904913488).

136658799406080 is an abundant number, since it is smaller than the sum of its proper divisors (468177010420896).

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

136658799406080 is a wasteful number, since it uses less digits than its factorization.

136658799406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131932 (or 131895 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 136658799406080 in words is "one hundred thirty-six trillion, six hundred fifty-eight billion, seven hundred ninety-nine million, four hundred six thousand, eighty".