133678272 has 168 divisors, whose sum is σ = 443490096. Its totient is φ = 35223552.

The previous prime is 133678229. The next prime is 133678289. The reversal of 133678272 is 272876331.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133678272.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121758 + ... + 122850.

It is an arithmetic number, because the mean of its divisors is an integer number (2639822).

Almost surely, 2^133678272 is an apocalyptic number.

133678272 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 133678272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221745048).

133678272 is an abundant number, since it is smaller than the sum of its proper divisors (309811824).

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

133678272 is a wasteful number, since it uses less digits than its factorization.

133678272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1118 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 133678272 is about 11561.9320184820. The cubic root of 133678272 is about 511.3131251574.

The spelling of 133678272 in words is "one hundred thirty-three million, six hundred seventy-eight thousand, two hundred seventy-two".