132414304 has 48 divisors (see below), whose sum is σ = 286992720. Its totient is φ = 59637760.

The previous prime is 132414301. The next prime is 132414307. The reversal of 132414304 is 403414231.

It is an interprime number because it is at equal distance from previous prime (132414301) and next prime (132414307).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132414301) 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, 38112 + ... + 41440.

It is an arithmetic number, because the mean of its divisors is an integer number (5979015).

Almost surely, 2^132414304 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 132414304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143496360).

132414304 is an abundant number, since it is smaller than the sum of its proper divisors (154578416).

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

132414304 is a wasteful number, since it uses less digits than its factorization.

132414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 132414304 is about 11507.1414347787. The cubic root of 132414304 is about 509.6964796582.

Adding to 132414304 its reverse (403414231), we get a palindrome (535828535).

The spelling of 132414304 in words is "one hundred thirty-two million, four hundred fourteen thousand, three hundred four".