132498400 has 144 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 47900160.

The previous prime is 132498341. The next prime is 132498403. The reversal of 132498400 is 4894231.

132498400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132498403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349411 + ... + 349789.

It is an arithmetic number, because the mean of its divisors is an integer number (2473800).

Almost surely, 2^132498400 is an apocalyptic number.

132498400 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 132498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

132498400 is an abundant number, since it is smaller than the sum of its proper divisors (223728800).

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

132498400 is a wasteful number, since it uses less digits than its factorization.

132498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 132498400 is about 11510.7949334527. The cubic root of 132498400 is about 509.8043591519.

The spelling of 132498400 in words is "one hundred thirty-two million, four hundred ninety-eight thousand, four hundred".