133308672 has 144 divisors (see below), whose sum is σ = 410696832. Its totient is φ = 37601280.

The previous prime is 133308653. The next prime is 133308691. The reversal of 133308672 is 276803331.

It is an interprime number because it is at equal distance from previous prime (133308653) and next prime (133308691).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 736422 + ... + 736602.

Almost surely, 2^133308672 is an apocalyptic number.

133308672 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 133308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205348416).

133308672 is an abundant number, since it is smaller than the sum of its proper divisors (277388160).

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

133308672 is a wasteful number, since it uses less digits than its factorization.

133308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 133308672 is about 11545.9374673519. The cubic root of 133308672 is about 510.8414559664.

The spelling of 133308672 in words is "one hundred thirty-three million, three hundred eight thousand, six hundred seventy-two".