132416449600 has 42 divisors (see below), whose sum is σ = 325827230234. Its totient is φ = 52966579200.

The previous prime is 132416449553. The next prime is 132416449603. The reversal of 132416449600 is 6944614231.

It can be written as a sum of positive squares in 3 ways, for example, as 15304658944 + 117111790656 = 123712^2 + 342216^2 .

It is a super-2 number, since 2×132416449600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (132416449603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41378541 + ... + 41381740.

Almost surely, 2^132416449600 is an apocalyptic number.

132416449600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132416449600 is an abundant number, since it is smaller than the sum of its proper divisors (193410780634).

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

132416449600 is an equidigital number, since it uses as much as digits as its factorization.

132416449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82760303 (or 82760288 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 132416449600 in words is "one hundred thirty-two billion, four hundred sixteen million, four hundred forty-nine thousand, six hundred".