136139790099456 has 3168 divisors, whose sum is σ = 513652562631936. Its totient is φ = 35473489920000.

The previous prime is 136139790099449. The next prime is 136139790099461. The reversal of 136139790099456 is 654990097931631.

136139790099456 is a `hidden beast` number, since 1 + 3 + 6 + 13 + 9 + 79 + 0 + 0 + 99 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1347918713806 + ... + 1347918713906.

Almost surely, 2^{136139790099456} is an apocalyptic number.

136139790099456 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 136139790099456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256826281315968).

136139790099456 is an abundant number, since it is smaller than the sum of its proper divisors (377512772532480).

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

136139790099456 is a wasteful number, since it uses less digits than its factorization.

136139790099456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 297606960, while the sum is 72.

The spelling of 136139790099456 in words is "one hundred thirty-six trillion, one hundred thirty-nine billion, seven hundred ninety million, ninety-nine thousand, four hundred fifty-six".