132959229312 has 1024 divisors, whose sum is σ = 485028311040. Its totient is φ = 31284264960.

The previous prime is 132959229289. The next prime is 132959229371. The reversal of 132959229312 is 213922959231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1290866253 + ... + 1290866355.

It is an arithmetic number, because the mean of its divisors is an integer number (473660460).

Almost surely, 2^132959229312 is an apocalyptic number.

132959229312 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 132959229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242514155520).

132959229312 is an abundant number, since it is smaller than the sum of its proper divisors (352069081728).

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

132959229312 is a wasteful number, since it uses less digits than its factorization.

132959229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The spelling of 132959229312 in words is "one hundred thirty-two billion, nine hundred fifty-nine million, two hundred twenty-nine thousand, three hundred twelve".