125321505534300 has 144 divisors (see below), whose sum is σ = 365235616861920. Its totient is φ = 33176251530240.

The previous prime is 125321505534293. The next prime is 125321505534361. The reversal of 125321505534300 is 3435505123521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51034282 + ... + 53433518.

It is an arithmetic number, because the mean of its divisors is an integer number (2536358450430).

Almost surely, 2^{125321505534300} is an apocalyptic number.

125321505534300 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 125321505534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182617808430960).

125321505534300 is an abundant number, since it is smaller than the sum of its proper divisors (239914111327620).

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

125321505534300 is a wasteful number, since it uses less digits than its factorization.

125321505534300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400520 (or 2400513 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 125321505534300 in words is "one hundred twenty-five trillion, three hundred twenty-one billion, five hundred five million, five hundred thirty-four thousand, three hundred".