125444152400 has 240 divisors, whose sum is σ = 351696847104. Its totient is φ = 42106122240.

The previous prime is 125444152369. The next prime is 125444152423. The reversal of 125444152400 is 4251444521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131630324 + ... + 131631276.

Almost surely, 2^125444152400 is an apocalyptic number.

125444152400 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 125444152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175848423552).

125444152400 is an abundant number, since it is smaller than the sum of its proper divisors (226252694704).

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

125444152400 is a wasteful number, since it uses less digits than its factorization.

125444152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 125444152400 its reverse (4251444521), we get a palindrome (129695596921).

The spelling of 125444152400 in words is "one hundred twenty-five billion, four hundred forty-four million, one hundred fifty-two thousand, four hundred".