132137280 has 336 divisors, whose sum is σ = 512576064. Its totient is φ = 30965760.

The previous prime is 132137279. The next prime is 132137281. The reversal of 132137280 is 82731231.

It is an interprime number because it is at equal distance from previous prime (132137279) and next prime (132137281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132137281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1362192 + ... + 1362288.

It is an arithmetic number, because the mean of its divisors is an integer number (1525524).

Almost surely, 2^132137280 is an apocalyptic number.

132137280 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 132137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256288032).

132137280 is an abundant number, since it is smaller than the sum of its proper divisors (380438784).

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

132137280 is a wasteful number, since it uses less digits than its factorization.

132137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 132137280 is about 11495.0980857059. The cubic root of 132137280 is about 509.3407861145.

The spelling of 132137280 in words is "one hundred thirty-two million, one hundred thirty-seven thousand, two hundred eighty".