132363936 has 96 divisors (see below), whose sum is σ = 388281600. Its totient is φ = 43868160.

The previous prime is 132363929. The next prime is 132363953. The reversal of 132363936 is 639363231.

132363936 is a `hidden beast` number, since 13 + 2 + 3 + 639 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 self number, because there is not a number n which added to its sum of digits gives 132363936.

It is a congruent number.

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, 206176 + ... + 206816.

It is an arithmetic number, because the mean of its divisors is an integer number (4044600).

Almost surely, 2^132363936 is an apocalyptic number.

132363936 is a gapful number since it is divisible by the number (16) 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 132363936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194140800).

132363936 is an abundant number, since it is smaller than the sum of its proper divisors (255917664).

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

132363936 is a wasteful number, since it uses less digits than its factorization.

132363936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 885 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The square root of 132363936 is about 11504.9526726536. The cubic root of 132363936 is about 509.6318450296.

The spelling of 132363936 in words is "one hundred thirty-two million, three hundred sixty-three thousand, nine hundred thirty-six".