135157800960 has 1792 divisors, whose sum is σ = 634140057600. Its totient is φ = 26499612672.

The previous prime is 135157800913. The next prime is 135157800961. The reversal of 135157800960 is 69008751531.

It is a happy number.

135157800960 is a `hidden beast` number, since 1 + 3 + 515 + 78 + 0 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135157800961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1710858201 + ... + 1710858279.

It is an arithmetic number, because the mean of its divisors is an integer number (353872800).

Almost surely, 2^135157800960 is an apocalyptic number.

135157800960 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 135157800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317070028800).

135157800960 is an abundant number, since it is smaller than the sum of its proper divisors (498982256640).

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

135157800960 is a wasteful number, since it uses less digits than its factorization.

135157800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 135157800960 in words is "one hundred thirty-five billion, one hundred fifty-seven million, eight hundred thousand, nine hundred sixty".