133285152 has 384 divisors, whose sum is σ = 501258240. Its totient is φ = 29859840.

The previous prime is 133285147. The next prime is 133285181. The reversal of 133285152 is 251582331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1825788 + ... + 1825860.

It is an arithmetic number, because the mean of its divisors is an integer number (1305360).

Almost surely, 2^133285152 is an apocalyptic number.

133285152 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 133285152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250629120).

133285152 is an abundant number, since it is smaller than the sum of its proper divisors (367973088).

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

133285152 is a wasteful number, since it uses less digits than its factorization.

133285152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 133285152 is about 11544.9188823482. The cubic root of 133285152 is about 510.8114111650.

The spelling of 133285152 in words is "one hundred thirty-three million, two hundred eighty-five thousand, one hundred fifty-two".