132746101722000 has 1440 divisors, whose sum is σ = 527020910523744. Its totient is φ = 32137772544000.

The previous prime is 132746101721999. The next prime is 132746101722007. The reversal of 132746101722000 is 227101647231.

132746101722000 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 4 + 610 + 17 + 2 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 130987475640576 + 1758626081424 = 11444976^2 + 1326132^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132746101722007) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10405739622 + ... + 10405752378.

Almost surely, 2^{132746101722000} is an apocalyptic number.

132746101722000 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 132746101722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263510455261872).

132746101722000 is an abundant number, since it is smaller than the sum of its proper divisors (394274808801744).

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

132746101722000 is an equidigital number, since it uses as much as digits as its factorization.

132746101722000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12878 (or 12841 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 132746101722000 in words is "one hundred thirty-two trillion, seven hundred forty-six billion, one hundred one million, seven hundred twenty-two thousand".