136681517472192 has 4032 divisors, whose sum is σ = 557138495047680. Its totient is φ = 32430652784640.

The previous prime is 136681517472163. The next prime is 136681517472197. The reversal of 136681517472192 is 291274715186631.

136681517472192 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 8 + 1 + 517 + 4 + 7 + 21 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×136681517472192² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136681517472197) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 997675309948 + ... + 997675310084.

It is an arithmetic number, because the mean of its divisors is an integer number (138179190240).

Almost surely, 2^{136681517472192} is an apocalyptic number.

136681517472192 is a gapful number since it is divisible by the number (12) 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 136681517472192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278569247523840).

136681517472192 is an abundant number, since it is smaller than the sum of its proper divisors (420456977575488).

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

136681517472192 is a wasteful number, since it uses less digits than its factorization.

136681517472192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 309 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 136681517472192 in words is "one hundred thirty-six trillion, six hundred eighty-one billion, five hundred seventeen million, four hundred seventy-two thousand, one hundred ninety-two".