132286513121280 has 3456 divisors, whose sum is σ = 570811938278400. Its totient is φ = 27725219758080.

The previous prime is 132286513121261. The next prime is 132286513121293. The reversal of 132286513121280 is 82121315682231.

132286513121280 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 8 + 6 + 51 + 312 + 1 + 280 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1674512824281 + ... + 1674512824359.

It is an arithmetic number, because the mean of its divisors is an integer number (165165491400).

Almost surely, 2^{132286513121280} is an apocalyptic number.

132286513121280 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 132286513121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405969139200).

132286513121280 is an abundant number, since it is smaller than the sum of its proper divisors (438525425157120).

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

132286513121280 is a wasteful number, since it uses less digits than its factorization.

132286513121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 132286513121280 in words is "one hundred thirty-two trillion, two hundred eighty-six billion, five hundred thirteen million, one hundred twenty-one thousand, two hundred eighty".