125322531400 has 288 divisors, whose sum is σ = 333013060800. Its totient is φ = 43775424000.

The previous prime is 125322531349. The next prime is 125322531409. The reversal of 125322531400 is 4135223521.

It is not an unprimeable number, because it can be changed into a prime (125322531409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198609085 + ... + 198609715.

It is an arithmetic number, because the mean of its divisors is an integer number (1156295350).

Almost surely, 2^125322531400 is an apocalyptic number.

125322531400 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 125322531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166506530400).

125322531400 is an abundant number, since it is smaller than the sum of its proper divisors (207690529400).

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

125322531400 is a wasteful number, since it uses less digits than its factorization.

125322531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 125322531400 its reverse (4135223521), we get a palindrome (129457754921).

The spelling of 125322531400 in words is "one hundred twenty-five billion, three hundred twenty-two million, five hundred thirty-one thousand, four hundred".