132969408 has 224 divisors, whose sum is σ = 430133760. Its totient is φ = 35696640.

The previous prime is 132969401. The next prime is 132969409. The reversal of 132969408 is 804969231.

132969408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132969408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132969401) 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, 796141 + ... + 796307.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 2^132969408 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 132969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

132969408 is an abundant number, since it is smaller than the sum of its proper divisors (297164352).

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

132969408 is a wasteful number, since it uses less digits than its factorization.

132969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 132969408 is about 11531.2361869836. The cubic root of 132969408 is about 510.4077323802.

The spelling of 132969408 in words is "one hundred thirty-two million, nine hundred sixty-nine thousand, four hundred eight".