132577266320300 has 72 divisors (see below), whose sum is σ = 293200160926176. Its totient is φ = 52016242037760.

The previous prime is 132577266320263. The next prime is 132577266320321. The reversal of 132577266320300 is 3023662775231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16211009 + ... + 22977191.

It is an arithmetic number, because the mean of its divisors is an integer number (4072224457308).

Almost surely, 2^{132577266320300} is an apocalyptic number.

132577266320300 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 132577266320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146600080463088).

132577266320300 is an abundant number, since it is smaller than the sum of its proper divisors (160622894605876).

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

132577266320300 is a wasteful number, since it uses less digits than its factorization.

132577266320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769947 (or 6769940 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 47.

The spelling of 132577266320300 in words is "one hundred thirty-two trillion, five hundred seventy-seven billion, two hundred sixty-six million, three hundred twenty thousand, three hundred".