132456450 has 96 divisors (see below), whose sum is σ = 379440000. Its totient is φ = 29952000.

The previous prime is 132456439. The next prime is 132456451. The reversal of 132456450 is 54654231.

It is a super-3 number, since 3×132456450³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (132456451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105426 + ... + 106674.

It is an arithmetic number, because the mean of its divisors is an integer number (3952500).

Almost surely, 2^132456450 is an apocalyptic number.

132456450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132456450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189720000).

132456450 is an abundant number, since it is smaller than the sum of its proper divisors (246983550).

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

132456450 is a wasteful number, since it uses less digits than its factorization.

132456450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 132456450 is about 11508.9725866387. The cubic root of 132456450 is about 509.7505508285.

The spelling of 132456450 in words is "one hundred thirty-two million, four hundred fifty-six thousand, four hundred fifty".