132919200 has 108 divisors (see below), whose sum is σ = 468731718. Its totient is φ = 35443200.

The previous prime is 132919121. The next prime is 132919201. The reversal of 132919200 is 2919231.

It can be written as a sum of positive squares in 3 ways, for example, as 62157456 + 70761744 = 7884^2 + 8412^2 .

It is not an unprimeable number, because it can be changed into a prime (132919201) 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, 2031 + ... + 16430.

Almost surely, 2^132919200 is an apocalyptic number.

132919200 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 132919200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234365859).

132919200 is an abundant number, since it is smaller than the sum of its proper divisors (335812518).

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

132919200 is a wasteful number, since it uses less digits than its factorization.

132919200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18487 (or 18471 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 132919200 is about 11529.0589381788. The cubic root of 132919200 is about 510.3434825704.

The spelling of 132919200 in words is "one hundred thirty-two million, nine hundred nineteen thousand, two hundred".