134596190972160 has 288 divisors, whose sum is σ = 477685623663360. Its totient is φ = 35888103014400.

The previous prime is 134596190972149. The next prime is 134596190972207. The reversal of 134596190972160 is 61279091695431.

134596190972160 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 9 + 619 + 0 + 9 + 7 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×134596190972160² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299791045 + ... + 300239675.

It is an arithmetic number, because the mean of its divisors is an integer number (1658630637720).

Almost surely, 2^{134596190972160} is an apocalyptic number.

134596190972160 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 134596190972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238842811831680).

134596190972160 is an abundant number, since it is smaller than the sum of its proper divisors (343089432691200).

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

134596190972160 is an equidigital number, since it uses as much as digits as its factorization.

134596190972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457342 (or 457322 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 134596190972160 in words is "one hundred thirty-four trillion, five hundred ninety-six billion, one hundred ninety million, nine hundred seventy-two thousand, one hundred sixty".