132014400 has 168 divisors, whose sum is σ = 495117120. Its totient is φ = 30167040.

The previous prime is 132014387. The next prime is 132014453. The reversal of 132014400 is 4410231.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132014400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31636 + ... + 35564.

Almost surely, 2^132014400 is an apocalyptic number.

132014400 is a gapful number since it is divisible by the number (10) 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 132014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247558560).

132014400 is an abundant number, since it is smaller than the sum of its proper divisors (363102720).

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

132014400 is a wasteful number, since it uses less digits than its factorization.

132014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 132014400 is about 11489.7519555472. The cubic root of 132014400 is about 509.1828513595.

Adding to 132014400 its reverse (4410231), we get a palindrome (136424631).

The spelling of 132014400 in words is "one hundred thirty-two million, fourteen thousand, four hundred".