133357152 has 48 divisors (see below), whose sum is σ = 353696112. Its totient is φ = 43991040.

The previous prime is 133357141. The next prime is 133357171. The reversal of 133357152 is 251753331.

133357152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×133357152² = 35568259979102208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2152 + ... + 16472.

It is an arithmetic number, because the mean of its divisors is an integer number (7368669).

Almost surely, 2^133357152 is an apocalyptic number.

133357152 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 133357152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176848056).

133357152 is an abundant number, since it is smaller than the sum of its proper divisors (220338960).

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

133357152 is a wasteful number, since it uses less digits than its factorization.

133357152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14431 (or 14423 counting only the distinct ones).

The product of its digits is 9450, while the sum is 30.

The square root of 133357152 is about 11548.0367162561. The cubic root of 133357152 is about 510.9033738993.

It can be divided in two parts, 1333 and 57152, that added together give a palindrome (58485).

The spelling of 133357152 in words is "one hundred thirty-three million, three hundred fifty-seven thousand, one hundred fifty-two".