132457248 has 288 divisors, whose sum is σ = 487992960. Its totient is φ = 34214400.

The previous prime is 132457231. The next prime is 132457261. The reversal of 132457248 is 842754231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 731718 + ... + 731898.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^132457248 is an apocalyptic number.

132457248 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 132457248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243996480).

132457248 is an abundant number, since it is smaller than the sum of its proper divisors (355535712).

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

132457248 is a wasteful number, since it uses less digits than its factorization.

132457248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 132457248 is about 11509.0072551893. The cubic root of 132457248 is about 509.7515745111.

The spelling of 132457248 in words is "one hundred thirty-two million, four hundred fifty-seven thousand, two hundred forty-eight".