132929280 has 216 divisors, whose sum is σ = 502210800. Its totient is φ = 32194560.

The previous prime is 132929267. The next prime is 132929299. The reversal of 132929280 is 82929231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126196 + ... + 127244.

It is an arithmetic number, because the mean of its divisors is an integer number (2325050).

Almost surely, 2^132929280 is an apocalyptic number.

132929280 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 132929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251105400).

132929280 is an abundant number, since it is smaller than the sum of its proper divisors (369281520).

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

132929280 is a wasteful number, since it uses less digits than its factorization.

132929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 132929280 is about 11529.4960861262. The cubic root of 132929280 is about 510.3563829697.

The spelling of 132929280 in words is "one hundred thirty-two million, nine hundred twenty-nine thousand, two hundred eighty".