135052194960 has 480 divisors, whose sum is σ = 482594112000. Its totient is φ = 33787514880.

The previous prime is 135052194919. The next prime is 135052194973. The reversal of 135052194960 is 69491250531.

135052194960 is a `hidden beast` number, since 1 + 35 + 0 + 521 + 9 + 4 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313345945 + ... + 313346375.

It is an arithmetic number, because the mean of its divisors is an integer number (1005404400).

Almost surely, 2^135052194960 is an apocalyptic number.

135052194960 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 135052194960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056000).

135052194960 is an abundant number, since it is smaller than the sum of its proper divisors (347541917040).

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

135052194960 is a wasteful number, since it uses less digits than its factorization.

135052194960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 135052194960 in words is "one hundred thirty-five billion, fifty-two million, one hundred ninety-four thousand, nine hundred sixty".