132121314 has 64 divisors (see below), whose sum is σ = 334817280. Its totient is φ = 38257920.

The previous prime is 132121271. The next prime is 132121343. The reversal of 132121314 is 413121231.

It is a super-2 number, since 2×132121314² = 34912083226173192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6399 + ... + 17469.

It is an arithmetic number, because the mean of its divisors is an integer number (5231520).

Almost surely, 2^132121314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132121314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167408640).

132121314 is an abundant number, since it is smaller than the sum of its proper divisors (202695966).

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

132121314 is a wasteful number, since it uses less digits than its factorization.

132121314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112 (or 11106 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 132121314 is about 11494.4035947934. The cubic root of 132121314 is about 509.3202709287.

Adding to 132121314 its reverse (413121231), we get a palindrome (545242545).

The spelling of 132121314 in words is "one hundred thirty-two million, one hundred twenty-one thousand, three hundred fourteen".