133279380 has 72 divisors (see below), whose sum is σ = 435386952. Its totient is φ = 32806656.

The previous prime is 133279379. The next prime is 133279387. The reversal of 133279380 is 83972331.

It is a happy number.

133279380 is a `hidden beast` number, since 1 + 3 + 3 + 279 + 380 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1397124 + 131882256 = 1182^2 + 11484^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133279387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26139 + ... + 30818.

It is an arithmetic number, because the mean of its divisors is an integer number (6047041).

Almost surely, 2^133279380 is an apocalyptic number.

133279380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133279380 is an abundant number, since it is smaller than the sum of its proper divisors (302107572).

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

133279380 is a wasteful number, since it uses less digits than its factorization.

133279380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56985 (or 56980 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 133279380 is about 11544.6688995397. The cubic root of 133279380 is about 510.8040373853.

The spelling of 133279380 in words is "one hundred thirty-three million, two hundred seventy-nine thousand, three hundred eighty".