132729312 has 24 divisors (see below), whose sum is σ = 348414696. Its totient is φ = 44243072.

The previous prime is 132729287. The next prime is 132729313. The reversal of 132729312 is 213927231.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132729312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132729313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 691203 + ... + 691394.

It is an arithmetic number, because the mean of its divisors is an integer number (14517279).

Almost surely, 2^132729312 is an apocalyptic number.

132729312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132729312 is an abundant number, since it is smaller than the sum of its proper divisors (215685384).

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

132729312 is a wasteful number, since it uses less digits than its factorization.

132729312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382610 (or 1382602 counting only the distinct ones).

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

The square root of 132729312 is about 11520.8208040920. The cubic root of 132729312 is about 510.1003416561.

The spelling of 132729312 in words is "one hundred thirty-two million, seven hundred twenty-nine thousand, three hundred twelve".