132049626576 has 320 divisors, whose sum is σ = 417658982400. Its totient is φ = 35137732608.

The previous prime is 132049626529. The next prime is 132049626589. The reversal of 132049626576 is 675626940231.

It is a super-2 number, since 2×132049626576² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49697440 + ... + 49700096.

It is an arithmetic number, because the mean of its divisors is an integer number (1305184320).

Almost surely, 2^132049626576 is an apocalyptic number.

132049626576 is a gapful number since it is divisible by the number (16) 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 132049626576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208829491200).

132049626576 is an abundant number, since it is smaller than the sum of its proper divisors (285609355824).

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

132049626576 is a wasteful number, since it uses less digits than its factorization.

132049626576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 132049626576 in words is "one hundred thirty-two billion, forty-nine million, six hundred twenty-six thousand, five hundred seventy-six".