132769590912 has 480 divisors, whose sum is σ = 486698254020. Its totient is φ = 35700424704.

The previous prime is 132769590883. The next prime is 132769590977. The reversal of 132769590912 is 219095967231.

132769590912 is a `hidden beast` number, since 1 + 32 + 7 + 6 + 9 + 590 + 9 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128410422336 + 4359168576 = 358344^2 + 66024^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8628858 + ... + 8644230.

Almost surely, 2^132769590912 is an apocalyptic number.

132769590912 is a gapful number since it is divisible by the number (12) 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 132769590912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243349127010).

132769590912 is an abundant number, since it is smaller than the sum of its proper divisors (353928663108).

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

132769590912 is a wasteful number, since it uses less digits than its factorization.

132769590912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15430 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 132769590912 in words is "one hundred thirty-two billion, seven hundred sixty-nine million, five hundred ninety thousand, nine hundred twelve".