135794892764160 has 528 divisors, whose sum is σ = 569375741166336. Its totient is φ = 29213017767936.

The previous prime is 135794892764149. The next prime is 135794892764221. The reversal of 135794892764160 is 61467298497531.

135794892764160 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 9 + 489 + 27 + 64 + 1 + 60 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6898572 + ... + 17865611.

It is a 1-persistent number, because it is pandigital, but 2⋅135794892764160 = 271589785528320 is not.

Almost surely, 2^{135794892764160} is an apocalyptic number.

135794892764160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135794892764160 is an abundant number, since it is smaller than the sum of its proper divisors (433580848402176).

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

135794892764160 is a wasteful number, since it uses less digits than its factorization.

135794892764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24764238 (or 24764217 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 135794892764160 in words is "one hundred thirty-five trillion, seven hundred ninety-four billion, eight hundred ninety-two million, seven hundred sixty-four thousand, one hundred sixty".