132919413000 has 512 divisors, whose sum is σ = 494538670080. Its totient is φ = 29345280000.

The previous prime is 132919412993. The next prime is 132919413007. The reversal of 132919413000 is 314919231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132919412993) and next prime (132919413007).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (132919413007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17387179 + ... + 17394821.

It is an arithmetic number, because the mean of its divisors is an integer number (965895840).

Almost surely, 2^132919413000 is an apocalyptic number.

132919413000 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 132919413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247269335040).

132919413000 is an abundant number, since it is smaller than the sum of its proper divisors (361619257080).

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

132919413000 is a wasteful number, since it uses less digits than its factorization.

132919413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 132919413000 in words is "one hundred thirty-two billion, nine hundred nineteen million, four hundred thirteen thousand".