132190240 has 144 divisors (see below), whose sum is σ = 391533912. Its totient is φ = 41803776.

The previous prime is 132190237. The next prime is 132190241. The reversal of 132190240 is 42091231.

It can be written as a sum of positive squares in 4 ways, for example, as 121088016 + 11102224 = 11004^2 + 3332^2 .

It is a super-3 number, since 3×132190240³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132190241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101272 + ... + 102568.

Almost surely, 2^132190240 is an apocalyptic number.

132190240 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 132190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195766956).

132190240 is an abundant number, since it is smaller than the sum of its proper divisors (259343672).

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

132190240 is a wasteful number, since it uses less digits than its factorization.

132190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 132190240 is about 11497.4014455441. The cubic root of 132190240 is about 509.4088241556.

Subtracting from 132190240 its reverse (42091231), we obtain a palindrome (90099009).

The spelling of 132190240 in words is "one hundred thirty-two million, one hundred ninety thousand, two hundred forty".