132363264 has 88 divisors (see below), whose sum is σ = 384967008. Its totient is φ = 40099840.

The previous prime is 132363263. The next prime is 132363269. The reversal of 132363264 is 462363231.

It is a tau number, because it is divible by the number of its divisors (88).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132363263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31834 + ... + 35750.

Almost surely, 2^132363264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192483504).

132363264 is an abundant number, since it is smaller than the sum of its proper divisors (252603744).

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

132363264 is a wasteful number, since it uses less digits than its factorization.

132363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3933 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 132363264 is about 11504.9234678028. The cubic root of 132363264 is about 509.6309825762.

The spelling of 132363264 in words is "one hundred thirty-two million, three hundred sixty-three thousand, two hundred sixty-four".