132745200 has 120 divisors (see below), whose sum is σ = 486004608. Its totient is φ = 30339840.

The previous prime is 132745199. The next prime is 132745237. The reversal of 132745200 is 2547231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499 + ... + 16301.

Almost surely, 2^132745200 is an apocalyptic number.

132745200 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 132745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243002304).

132745200 is an abundant number, since it is smaller than the sum of its proper divisors (353259408).

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

132745200 is a wasteful number, since it uses less digits than its factorization.

132745200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15831 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 132745200 is about 11521.5103176624. The cubic root of 132745200 is about 510.1206942337.

The spelling of 132745200 in words is "one hundred thirty-two million, seven hundred forty-five thousand, two hundred".