132945300 has 108 divisors (see below), whose sum is σ = 432222336. Its totient is φ = 35445600.

The previous prime is 132945277. The next prime is 132945301. The reversal of 132945300 is 3549231.

It is a tau number, because it is divible by the number of its divisors (108).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132945301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21565 + ... + 27035.

Almost surely, 2^132945300 is an apocalyptic number.

132945300 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 132945300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168).

132945300 is an abundant number, since it is smaller than the sum of its proper divisors (299277036).

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

132945300 is a wasteful number, since it uses less digits than its factorization.

132945300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 132945300 is about 11530.1908050127. The cubic root of 132945300 is about 510.3768840482.

The spelling of 132945300 in words is "one hundred thirty-two million, nine hundred forty-five thousand, three hundred".