132413401000 has 128 divisors (see below), whose sum is σ = 316835251200. Its totient is φ = 51784012800.

The previous prime is 132413400997. The next prime is 132413401019. The reversal of 132413401000 is 104314231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8128864 + ... + 8145136.

It is an arithmetic number, because the mean of its divisors is an integer number (2475275400).

Almost surely, 2^132413401000 is an apocalyptic number.

132413401000 is a gapful number since it is divisible by the number (10) 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 132413401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158417625600).

132413401000 is an abundant number, since it is smaller than the sum of its proper divisors (184421850200).

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

132413401000 is a wasteful number, since it uses less digits than its factorization.

132413401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16462 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 132413401000 its reverse (104314231), we get a palindrome (132517715231).

The spelling of 132413401000 in words is "one hundred thirty-two billion, four hundred thirteen million, four hundred one thousand".