135134770176 has 440 divisors, whose sum is σ = 488351578176. Its totient is φ = 36336107520.

The previous prime is 135134770151. The next prime is 135134770181. The reversal of 135134770176 is 671077431531.

135134770176 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 477 + 0 + 176 = 666.

It is a super-2 number, since 2×135134770176² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9863491 + ... + 9877181.

Almost surely, 2^135134770176 is an apocalyptic number.

135134770176 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 135134770176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244175789088).

135134770176 is an abundant number, since it is smaller than the sum of its proper divisors (353216808000).

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

135134770176 is a wasteful number, since it uses less digits than its factorization.

135134770176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13747 (or 13720 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 135134770176 in words is "one hundred thirty-five billion, one hundred thirty-four million, seven hundred seventy thousand, one hundred seventy-six".