134054296272 has 600 divisors, whose sum is σ = 444315702600. Its totient is φ = 39010802688.

The previous prime is 134054296241. The next prime is 134054296349. The reversal of 134054296272 is 272692450431.

134054296272 is a `hidden beast` number, since 1 + 3 + 40 + 54 + 296 + 272 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62528003136 + 71526293136 = 250056^2 + 267444^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1506228004 + ... + 1506228092.

It is an arithmetic number, because the mean of its divisors is an integer number (740526171).

Almost surely, 2^134054296272 is an apocalyptic number.

134054296272 is a gapful number since it is divisible by the number (12) 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 134054296272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222157851300).

134054296272 is an abundant number, since it is smaller than the sum of its proper divisors (310261406328).

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

134054296272 is an equidigital number, since it uses as much as digits as its factorization.

134054296272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 134054296272 in words is "one hundred thirty-four billion, fifty-four million, two hundred ninety-six thousand, two hundred seventy-two".