133253376 has 144 divisors (see below), whose sum is σ = 380674560. Its totient is φ = 41287680.

The previous prime is 133253371. The next prime is 133253377. The reversal of 133253376 is 673352331.

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 not an unprimeable number, because it can be changed into a prime (133253371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690336 + ... + 690528.

Almost surely, 2^133253376 is an apocalyptic number.

133253376 is a gapful number since it is divisible by the number (16) 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 133253376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190337280).

133253376 is an abundant number, since it is smaller than the sum of its proper divisors (247421184).

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

133253376 is a wasteful number, since it uses less digits than its factorization.

133253376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its digits is 34020, while the sum is 33.

The square root of 133253376 is about 11543.5426104814. The cubic root of 133253376 is about 510.7708144112.

The spelling of 133253376 in words is "one hundred thirty-three million, two hundred fifty-three thousand, three hundred seventy-six".