132857712 has 160 divisors (see below), whose sum is σ = 421431360. Its totient is φ = 39813120.

The previous prime is 132857707. The next prime is 132857719. The reversal of 132857712 is 217758231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132857719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229968 + ... + 230544.

It is an arithmetic number, because the mean of its divisors is an integer number (2633946).

Almost surely, 2^132857712 is an apocalyptic number.

132857712 is a gapful number since it is divisible by the number (12) 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 132857712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210715680).

132857712 is an abundant number, since it is smaller than the sum of its proper divisors (288573648).

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

132857712 is a wasteful number, since it uses less digits than its factorization.

132857712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 132857712 is about 11526.3919766768. The cubic root of 132857712 is about 510.2647760076.

The spelling of 132857712 in words is "one hundred thirty-two million, eight hundred fifty-seven thousand, seven hundred twelve".