132442293045600 has 720 divisors, whose sum is σ = 530516862247680. Its totient is φ = 32004355046400.

The previous prime is 132442293045589. The next prime is 132442293045637. The reversal of 132442293045600 is 6540392244231.

132442293045600 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 4 + 2 + 2 + 9 + 30 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×132442293045600² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25979085 + ... + 30656115.

It is an arithmetic number, because the mean of its divisors is an integer number (736828975344).

Almost surely, 2^{132442293045600} is an apocalyptic number.

132442293045600 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 132442293045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265258431123840).

132442293045600 is an abundant number, since it is smaller than the sum of its proper divisors (398074569202080).

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

132442293045600 is a wasteful number, since it uses less digits than its factorization.

132442293045600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677105 (or 4677083 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 132442293045600 in words is "one hundred thirty-two trillion, four hundred forty-two billion, two hundred ninety-three million, forty-five thousand, six hundred".