125104350400 has 84 divisors (see below), whose sum is σ = 308176391520. Its totient is φ = 49986227200.

The previous prime is 125104350391. The next prime is 125104350487. The reversal of 125104350400 is 4053401521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1414686 + ... + 1500514.

Almost surely, 2^125104350400 is an apocalyptic number.

125104350400 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 125104350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154088195760).

125104350400 is an abundant number, since it is smaller than the sum of its proper divisors (183072041120).

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

125104350400 is an equidigital number, since it uses as much as digits as its factorization.

125104350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86762 (or 86747 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 125104350400 its reverse (4053401521), we get a palindrome (129157751921).

The spelling of 125104350400 in words is "one hundred twenty-five billion, one hundred four million, three hundred fifty thousand, four hundred".