132098400 has 216 divisors, whose sum is σ = 532559664. Its totient is φ = 30182400.

The previous prime is 132098377. The next prime is 132098413. The reversal of 132098400 is 4890231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49090 + ... + 51710.

It is an arithmetic number, because the mean of its divisors is an integer number (2465554).

Almost surely, 2^132098400 is an apocalyptic number.

132098400 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 132098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266279832).

132098400 is an abundant number, since it is smaller than the sum of its proper divisors (400461264).

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

132098400 is a wasteful number, since it uses less digits than its factorization.

132098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 132098400 is about 11493.4068056430. The cubic root of 132098400 is about 509.2908251639.

It can be divided in two parts, 13209 and 8400, that added together give a square (21609 = 147²).

The spelling of 132098400 in words is "one hundred thirty-two million, ninety-eight thousand, four hundred".