134537433526272 has 1040 divisors, whose sum is σ = 444174506623232. Its totient is φ = 35469137018880.

The previous prime is 134537433526261. The next prime is 134537433526277. The reversal of 134537433526272 is 272625334735431.

It is not an unprimeable number, because it can be changed into a prime (134537433526277) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 438232682343 + ... + 438232682649.

Almost surely, 2^{134537433526272} is an apocalyptic number.

134537433526272 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 134537433526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222087253311616).

134537433526272 is an abundant number, since it is smaller than the sum of its proper divisors (309637073096960).

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

134537433526272 is an frugal number, since it uses more digits than its factorization.

134537433526272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 397 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 57.

The spelling of 134537433526272 in words is "one hundred thirty-four trillion, five hundred thirty-seven billion, four hundred thirty-three million, five hundred twenty-six thousand, two hundred seventy-two".