136185979539456 has 2808 divisors, whose sum is σ = 532438552335872. Its totient is φ = 34054550323200.

The previous prime is 136185979539451. The next prime is 136185979539457. The reversal of 136185979539456 is 654935979581631.

136185979539456 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 8 + 5 + 9 + 79 + 539 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×136185979539456² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136185979539451) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 705626836896 + ... + 705626837088.

Almost surely, 2^{136185979539456} is an apocalyptic number.

136185979539456 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 136185979539456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266219276167936).

136185979539456 is an abundant number, since it is smaller than the sum of its proper divisors (396252572796416).

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

136185979539456 is an frugal number, since it uses more digits than its factorization.

136185979539456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 247 counting only the distinct ones).

The product of its digits is 6613488000, while the sum is 81.

The spelling of 136185979539456 in words is "one hundred thirty-six trillion, one hundred eighty-five billion, nine hundred seventy-nine million, five hundred thirty-nine thousand, four hundred fifty-six".