135793152000 has 1664 divisors, whose sum is σ = 588808396800. Its totient is φ = 30523392000.

The previous prime is 135793151971. The next prime is 135793152037. The reversal of 135793152000 is 251397531.

135793152000 is a `hidden beast` number, since 1 + 3 + 579 + 31 + 52 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2889215977 + ... + 2889216023.

It is an arithmetic number, because the mean of its divisors is an integer number (353851200).

Almost surely, 2^135793152000 is an apocalyptic number.

135793152000 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 135793152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294404198400).

135793152000 is an abundant number, since it is smaller than the sum of its proper divisors (453015244800).

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

135793152000 is a wasteful number, since it uses less digits than its factorization.

135793152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 135793152000 in words is "one hundred thirty-five billion, seven hundred ninety-three million, one hundred fifty-two thousand".