132249600 has 432 divisors, whose sum is σ = 554495760. Its totient is φ = 29491200.

The previous prime is 132249577. The next prime is 132249617. The reversal of 132249600 is 6942231.

132249600 is a `hidden beast` number, since 1 + 32 + 24 + 9 + 600 = 666.

It is a zygodrome in base 2.

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, 3225580 + ... + 3225620.

It is an arithmetic number, because the mean of its divisors is an integer number (1283555).

Almost surely, 2^132249600 is an apocalyptic number.

132249600 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 132249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277247880).

132249600 is an abundant number, since it is smaller than the sum of its proper divisors (422246160).

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

132249600 is a wasteful number, since it uses less digits than its factorization.

132249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132249600 is about 11499.9826086825. The cubic root of 132249600 is about 509.4850627209.

The spelling of 132249600 in words is "one hundred thirty-two million, two hundred forty-nine thousand, six hundred".