132725206176200 has 384 divisors, whose sum is σ = 341894237368320. Its totient is φ = 47516167987200.

The previous prime is 132725206176107. The next prime is 132725206176203. The reversal of 132725206176200 is 2671602527231.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (132725206176203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43905127889 + ... + 43905130911.

It is an arithmetic number, because the mean of its divisors is an integer number (890349576480).

Almost surely, 2^{132725206176200} is an apocalyptic number.

132725206176200 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 132725206176200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170947118684160).

132725206176200 is an abundant number, since it is smaller than the sum of its proper divisors (209169031192120).

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

132725206176200 is a wasteful number, since it uses less digits than its factorization.

132725206176200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 132725206176200 in words is "one hundred thirty-two trillion, seven hundred twenty-five billion, two hundred six million, one hundred seventy-six thousand, two hundred".