132919488 has 224 divisors, whose sum is σ = 432125120. Its totient is φ = 39813120.

The previous prime is 132919483. The next prime is 132919513. The reversal of 132919488 is 884919231.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (124416) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (132919483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370256 + ... + 1370352.

It is an arithmetic number, because the mean of its divisors is an integer number (1929130).

Almost surely, 2^132919488 is an apocalyptic number.

132919488 is a gapful number since it is divisible by the number (18) 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 132919488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216062560).

132919488 is an abundant number, since it is smaller than the sum of its proper divisors (299205632).

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

132919488 is a wasteful number, since it uses less digits than its factorization.

132919488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 132919488 is about 11529.0714283502. The cubic root of 132919488 is about 510.3438511623.

The spelling of 132919488 in words is "one hundred thirty-two million, nine hundred nineteen thousand, four hundred eighty-eight".