132747120 has 320 divisors, whose sum is σ = 515681280. Its totient is φ = 31104000.

The previous prime is 132747079. The next prime is 132747127. The reversal of 132747120 is 21747231.

It is a happy number.

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 (132747127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 879045 + ... + 879195.

It is an arithmetic number, because the mean of its divisors is an integer number (1611504).

Almost surely, 2^132747120 is an apocalyptic number.

132747120 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 132747120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257840640).

132747120 is an abundant number, since it is smaller than the sum of its proper divisors (382934160).

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

132747120 is a wasteful number, since it uses less digits than its factorization.

132747120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 132747120 is about 11521.5936397705. The cubic root of 132747120 is about 510.1231536497.

The spelling of 132747120 in words is "one hundred thirty-two million, seven hundred forty-seven thousand, one hundred twenty".