132947136 has 224 divisors, whose sum is σ = 463296000. Its totient is φ = 36578304.

The previous prime is 132947131. The next prime is 132947149. The reversal of 132947136 is 631749231.

It is a tau number, because it is divible by the number of its divisors (224).

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 132947136.

It is not an unprimeable number, because it can be changed into a prime (132947131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350595 + ... + 350973.

Almost surely, 2^132947136 is an apocalyptic number.

132947136 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 132947136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231648000).

132947136 is an abundant number, since it is smaller than the sum of its proper divisors (330348864).

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

132947136 is a wasteful number, since it uses less digits than its factorization.

132947136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 420 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 132947136 is about 11530.2704218071. The cubic root of 132947136 is about 510.3792335049.

The spelling of 132947136 in words is "one hundred thirty-two million, nine hundred forty-seven thousand, one hundred thirty-six".