132143727006720 has 1760 divisors, whose sum is σ = 589041883938816. Its totient is φ = 27830963404800.

The previous prime is 132143727006713. The next prime is 132143727006721. The reversal of 132143727006720 is 27600727341231.

132143727006720 is a `hidden beast` number, since 1 + 3 + 214 + 372 + 7 + 0 + 0 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132143727006721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1008118785 + ... + 1008249855.

Almost surely, 2^{132143727006720} is an apocalyptic number.

132143727006720 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 132143727006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294520941969408).

132143727006720 is an abundant number, since it is smaller than the sum of its proper divisors (456898156932096).

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

132143727006720 is a wasteful number, since it uses less digits than its factorization.

132143727006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131149 (or 131122 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 132143727006720 in words is "one hundred thirty-two trillion, one hundred forty-three billion, seven hundred twenty-seven million, six thousand, seven hundred twenty".