132742800 has 300 divisors, whose sum is σ = 506520036. Its totient is φ = 33177600.

The previous prime is 132742781. The next prime is 132742801. The reversal of 132742800 is 8247231.

It can be written as a sum of positive squares in 6 ways, for example, as 2509056 + 130233744 = 1584^2 + 11412^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132742801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 550680 + ... + 550920.

Almost surely, 2^132742800 is an apocalyptic number.

132742800 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 132742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253260018).

132742800 is an abundant number, since it is smaller than the sum of its proper divisors (373777236).

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

132742800 is a wasteful number, since it uses less digits than its factorization.

132742800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132742800 is about 11521.4061641798. The cubic root of 132742800 is about 510.1176199304.

The spelling of 132742800 in words is "one hundred thirty-two million, seven hundred forty-two thousand, eight hundred".