132451488 has 144 divisors (see below), whose sum is σ = 429699816. Its totient is φ = 38338560.

The previous prime is 132451441. The next prime is 132451513. The reversal of 132451488 is 884154231.

132451488 is a `hidden beast` number, since 132 + 4 + 514 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101848464 + 30603024 = 10092^2 + 5532^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62608 + ... + 64688.

Almost surely, 2^132451488 is an apocalyptic number.

132451488 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 132451488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214849908).

132451488 is an abundant number, since it is smaller than the sum of its proper divisors (297248328).

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

132451488 is a wasteful number, since it uses less digits than its factorization.

132451488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2116 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 132451488 is about 11508.7570136831. The cubic root of 132451488 is about 509.7441854311.

The spelling of 132451488 in words is "one hundred thirty-two million, four hundred fifty-one thousand, four hundred eighty-eight".