134272672272000 has 1280 divisors, whose sum is σ = 506321367552000. Its totient is φ = 35262530150400.

The previous prime is 134272672271999. The next prime is 134272672272107. The reversal of 134272672272000 is 272276272431.

134272672272000 is a `hidden beast` number, since 1 + 342 + 7 + 2 + 67 + 227 + 20 + 0 + 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 159 ways as a sum of consecutive naturals, for example, 22878285066 + ... + 22878290934.

It is an arithmetic number, because the mean of its divisors is an integer number (395563568400).

Almost surely, 2^{134272672272000} is an apocalyptic number.

134272672272000 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 134272672272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253160683776000).

134272672272000 is an abundant number, since it is smaller than the sum of its proper divisors (372048695280000).

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

134272672272000 is a wasteful number, since it uses less digits than its factorization.

134272672272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 134272672272000 in words is "one hundred thirty-four trillion, two hundred seventy-two billion, six hundred seventy-two million, two hundred seventy-two thousand".