132997440 has 224 divisors, whose sum is σ = 450616320. Its totient is φ = 33177600.

The previous prime is 132997439. The next prime is 132997453. The reversal of 132997440 is 44799231.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220106 + ... + 1220214.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 2^132997440 is an apocalyptic number.

132997440 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 132997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

132997440 is an abundant number, since it is smaller than the sum of its proper divisors (317618880).

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

132997440 is a wasteful number, since it uses less digits than its factorization.

132997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 132997440 is about 11532.4516040606. The cubic root of 132997440 is about 510.4435971315.

The spelling of 132997440 in words is "one hundred thirty-two million, nine hundred ninety-seven thousand, four hundred forty".