132262293768 has 192 divisors, whose sum is σ = 371542671360. Its totient is φ = 39196080000.

The previous prime is 132262293763. The next prime is 132262293773. The reversal of 132262293768 is 867392262231.

It is a happy number.

132262293768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132262293763) and next prime (132262293773).

It is a self number, because there is not a number n which added to its sum of digits gives 132262293768.

It is not an unprimeable number, because it can be changed into a prime (132262293763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26182843 + ... + 26187893.

It is an arithmetic number, because the mean of its divisors is an integer number (1935118080).

Almost surely, 2^132262293768 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 132262293768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185771335680).

132262293768 is an abundant number, since it is smaller than the sum of its proper divisors (239280377592).

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

132262293768 is a wasteful number, since it uses less digits than its factorization.

132262293768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280 (or 5265 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 132262293768 in words is "one hundred thirty-two billion, two hundred sixty-two million, two hundred ninety-three thousand, seven hundred sixty-eight".