133013952 has 84 divisors (see below), whose sum is σ = 394456920. Its totient is φ = 42803712.

The previous prime is 133013911. The next prime is 133013953. The reversal of 133013952 is 259310331.

It is a happy number.

It is a super-2 number, since 2×133013952² = 35385422853316608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133013953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12723 + ... + 20685.

Almost surely, 2^133013952 is an apocalyptic number.

133013952 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 133013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197228460).

133013952 is an abundant number, since it is smaller than the sum of its proper divisors (261442968).

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

133013952 is a wasteful number, since it uses less digits than its factorization.

133013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8010 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 133013952 is about 11533.1674747226. The cubic root of 133013952 is about 510.4647205855.

The spelling of 133013952 in words is "one hundred thirty-three million, thirteen thousand, nine hundred fifty-two".