132361320 has 512 divisors, whose sum is σ = 557383680. Its totient is φ = 24330240.

The previous prime is 132361309. The next prime is 132361357. The reversal of 132361320 is 23163231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4269705 + ... + 4269735.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^132361320 is an apocalyptic number.

132361320 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 132361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

132361320 is an abundant number, since it is smaller than the sum of its proper divisors (425022360).

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

132361320 is a wasteful number, since it uses less digits than its factorization.

132361320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 132361320 is about 11504.8389819241. The cubic root of 132361320 is about 509.6284876053.

The spelling of 132361320 in words is "one hundred thirty-two million, three hundred sixty-one thousand, three hundred twenty".