132346496000 has 176 divisors, whose sum is σ = 349603396272. Its totient is φ = 49823744000.

The previous prime is 132346495999. The next prime is 132346496003. The reversal of 132346496000 is 694643231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23435935744 + 108910560256 = 153088^2 + 330016^2 .

It is not an unprimeable number, because it can be changed into a prime (132346496003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2145590 + ... + 2206410.

Almost surely, 2^132346496000 is an apocalyptic number.

132346496000 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 132346496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174801698136).

132346496000 is an abundant number, since it is smaller than the sum of its proper divisors (217256900272).

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

132346496000 is an equidigital number, since it uses as much as digits as its factorization.

132346496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60873 (or 60845 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 132346496000 in words is "one hundred thirty-two billion, three hundred forty-six million, four hundred ninety-six thousand".