134088428160 has 512 divisors, whose sum is σ = 489850675200. Its totient is φ = 34646593536.

The previous prime is 134088428153. The next prime is 134088428161. The reversal of 134088428160 is 61824880431.

134088428160 is a `hidden beast` number, since 1 + 3 + 408 + 84 + 2 + 8 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134088428161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86900349 + ... + 86901891.

It is an arithmetic number, because the mean of its divisors is an integer number (956739600).

Almost surely, 2^134088428160 is an apocalyptic number.

134088428160 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 134088428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244925337600).

134088428160 is an abundant number, since it is smaller than the sum of its proper divisors (355762247040).

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

134088428160 is a wasteful number, since it uses less digits than its factorization.

134088428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 134088428160 in words is "one hundred thirty-four billion, eighty-eight million, four hundred twenty-eight thousand, one hundred sixty".