132145104400 has 60 divisors (see below), whose sum is σ = 317724639892. Its totient is φ = 52817080320.

The previous prime is 132145104389. The next prime is 132145104419. The reversal of 132145104400 is 4401541231.

It can be written as a sum of positive squares in 6 ways, for example, as 20046029056 + 112099075344 = 141584^2 + 334812^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391444 + ... + 646156.

Almost surely, 2^132145104400 is an apocalyptic number.

132145104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132145104400 is an abundant number, since it is smaller than the sum of its proper divisors (185579535492).

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

132145104400 is a wasteful number, since it uses less digits than its factorization.

132145104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256028 (or 256017 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 132145104400 its reverse (4401541231), we get a palindrome (136546645631).

The spelling of 132145104400 in words is "one hundred thirty-two billion, one hundred forty-five million, one hundred four thousand, four hundred".