132733944 has 96 divisors (see below), whose sum is σ = 428936400. Its totient is φ = 37920960.

The previous prime is 132733919. The next prime is 132733949. The reversal of 132733944 is 449337231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132733899 and 132733908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132733949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4314 + ... + 16854.

Almost surely, 2^132733944 is an apocalyptic number.

132733944 is a gapful number since it is divisible by the number (14) 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 132733944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214468200).

132733944 is an abundant number, since it is smaller than the sum of its proper divisors (296202456).

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

132733944 is a wasteful number, since it uses less digits than its factorization.

132733944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12570 (or 12553 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 132733944 is about 11521.0218296816. The cubic root of 132733944 is about 510.1062754303.

The spelling of 132733944 in words is "one hundred thirty-two million, seven hundred thirty-three thousand, nine hundred forty-four".