132729600 has 216 divisors, whose sum is σ = 454193152. Its totient is φ = 34099200.

The previous prime is 132729581. The next prime is 132729637. The reversal of 132729600 is 6927231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 595089 + ... + 595311.

Almost surely, 2^132729600 is an apocalyptic number.

132729600 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 132729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227096576).

132729600 is an abundant number, since it is smaller than the sum of its proper divisors (321463552).

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

132729600 is a wasteful number, since it uses less digits than its factorization.

132729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 132729600 is about 11520.8333031947. The cubic root of 132729600 is about 510.1007105995.

The spelling of 132729600 in words is "one hundred thirty-two million, seven hundred twenty-nine thousand, six hundred".