133007532 has 48 divisors (see below), whose sum is σ = 357100800. Its totient is φ = 37743552.

The previous prime is 133007521. The next prime is 133007549. The reversal of 133007532 is 235700331.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7203 + ... + 17829.

It is an arithmetic number, because the mean of its divisors is an integer number (7439600).

Almost surely, 2^133007532 is an apocalyptic number.

133007532 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 133007532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178550400).

133007532 is an abundant number, since it is smaller than the sum of its proper divisors (224093268).

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

133007532 is a wasteful number, since it uses less digits than its factorization.

133007532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 133007532 is about 11532.8891436621. The cubic root of 133007532 is about 510.4565078224.

Adding to 133007532 its reverse (235700331), we get a palindrome (368707863).

The spelling of 133007532 in words is "one hundred thirty-three million, seven thousand, five hundred thirty-two".