133372512 has 216 divisors, whose sum is σ = 475793136. Its totient is φ = 35126784.

The previous prime is 133372493. The next prime is 133372513. The reversal of 133372512 is 215273331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133372513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183093 + ... + 183819.

It is an arithmetic number, because the mean of its divisors is an integer number (2202746).

Almost surely, 2^133372512 is an apocalyptic number.

133372512 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 133372512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237896568).

133372512 is an abundant number, since it is smaller than the sum of its proper divisors (342420624).

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

133372512 is a wasteful number, since it uses less digits than its factorization.

133372512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 752 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 133372512 is about 11548.7017452179. The cubic root of 133372512 is about 510.9229883318.

The spelling of 133372512 in words is "one hundred thirty-three million, three hundred seventy-two thousand, five hundred twelve".