133632940 has 96 divisors (see below), whose sum is σ = 339591168. Its totient is φ = 43200000.

The previous prime is 133632911. The next prime is 133632953. The reversal of 133632940 is 49236331.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177565 + ... + 178315.

It is an arithmetic number, because the mean of its divisors is an integer number (3537408).

Almost surely, 2^133632940 is an apocalyptic number.

133632940 is a gapful number since it is divisible by the number (10) 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 133632940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169795584).

133632940 is an abundant number, since it is smaller than the sum of its proper divisors (205958228).

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

133632940 is a wasteful number, since it uses less digits than its factorization.

133632940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 133632940 is about 11559.9714532519. The cubic root of 133632940 is about 511.2553210311.

The spelling of 133632940 in words is "one hundred thirty-three million, six hundred thirty-two thousand, nine hundred forty".