132462800 has 90 divisors (see below), whose sum is σ = 327848994. Its totient is φ = 51430400.

The previous prime is 132462797. The next prime is 132462809. The reversal of 132462800 is 8264231.

It can be written as a sum of positive squares in 9 ways, for example, as 65157184 + 67305616 = 8072^2 + 8204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132462800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132462809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 672302 + ... + 672498.

Almost surely, 2^132462800 is an apocalyptic number.

132462800 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 132462800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163924497).

132462800 is an abundant number, since it is smaller than the sum of its proper divisors (195386194).

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

132462800 is a wasteful number, since it uses less digits than its factorization.

132462800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 132462800 is about 11509.2484550469. The cubic root of 132462800 is about 509.7586965606.

The spelling of 132462800 in words is "one hundred thirty-two million, four hundred sixty-two thousand, eight hundred".