125455144000 has 224 divisors, whose sum is σ = 315583763040. Its totient is φ = 49397760000.

The previous prime is 125455143991. The next prime is 125455144037. The reversal of 125455144000 is 441554521.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 99588211776 + 25866932224 = 315576^2 + 160832^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 208743700 + ... + 208744300.

It is an arithmetic number, because the mean of its divisors is an integer number (1408856085).

Almost surely, 2^125455144000 is an apocalyptic number.

125455144000 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 125455144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157791881520).

125455144000 is an abundant number, since it is smaller than the sum of its proper divisors (190128619040).

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

125455144000 is an equidigital number, since it uses as much as digits as its factorization.

125455144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

Adding to 125455144000 its reverse (441554521), we get a palindrome (125896698521).

The spelling of 125455144000 in words is "one hundred twenty-five billion, four hundred fifty-five million, one hundred forty-four thousand".