132742524768 has 384 divisors, whose sum is σ = 435770818560. Its totient is φ = 34525440000.

The previous prime is 132742524751. The next prime is 132742524779. The reversal of 132742524768 is 867425247231.

It is a self number, because there is not a number n which added to its sum of digits gives 132742524768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59765898 + ... + 59768118.

It is an arithmetic number, because the mean of its divisors is an integer number (1134819840).

Almost surely, 2^132742524768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132742524768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217885409280).

132742524768 is an abundant number, since it is smaller than the sum of its proper divisors (303028293792).

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

132742524768 is a wasteful number, since it uses less digits than its factorization.

132742524768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2434 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 51.

The spelling of 132742524768 in words is "one hundred thirty-two billion, seven hundred forty-two million, five hundred twenty-four thousand, seven hundred sixty-eight".