132212640 has 288 divisors, whose sum is σ = 506943360. Its totient is φ = 28366848.

The previous prime is 132212623. The next prime is 132212651. The reversal of 132212640 is 46212231.

It is a super-3 number, since 3×132212640³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1212906 + ... + 1213014.

It is an arithmetic number, because the mean of its divisors is an integer number (1760220).

Almost surely, 2^132212640 is an apocalyptic number.

132212640 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 132212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253471680).

132212640 is an abundant number, since it is smaller than the sum of its proper divisors (374730720).

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

132212640 is a wasteful number, since it uses less digits than its factorization.

132212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 132212640 is about 11498.3755374401. The cubic root of 132212640 is about 509.4375961063.

Adding to 132212640 its reverse (46212231), we get a palindrome (178424871).

The spelling of 132212640 in words is "one hundred thirty-two million, two hundred twelve thousand, six hundred forty".