132109380 has 336 divisors, whose sum is σ = 485869104. Its totient is φ = 29859840.

The previous prime is 132109349. The next prime is 132109387. The reversal of 132109380 is 83901231.

It can be written as a sum of positive squares in 8 ways, for example, as 20088324 + 112021056 = 4482^2 + 10584^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132109387) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3222160 + ... + 3222200.

It is an arithmetic number, because the mean of its divisors is an integer number (1446039).

Almost surely, 2^132109380 is an apocalyptic number.

132109380 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 132109380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242934552).

132109380 is an abundant number, since it is smaller than the sum of its proper divisors (353759724).

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

132109380 is a wasteful number, since it uses less digits than its factorization.

132109380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 132109380 is about 11493.8844608774. The cubic root of 132109380 is about 509.3049354996.

The spelling of 132109380 in words is "one hundred thirty-two million, one hundred nine thousand, three hundred eighty".