133279872 has 128 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 39920640.

The previous prime is 133279849. The next prime is 133279891. The reversal of 133279872 is 278972331.

133279872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587023 + ... + 587249.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^133279872 is an apocalyptic number.

133279872 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 133279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

133279872 is an abundant number, since it is smaller than the sum of its proper divisors (257420928).

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

133279872 is a wasteful number, since it uses less digits than its factorization.

133279872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 133279872 is about 11544.6902080567. The cubic root of 133279872 is about 510.8046659278.

The spelling of 133279872 in words is "one hundred thirty-three million, two hundred seventy-nine thousand, eight hundred seventy-two".