125525155400000 has 336 divisors, whose sum is σ = 312484236447600. Its totient is φ = 50026168320000.

The previous prime is 125525155399927. The next prime is 125525155400009. The reversal of 125525155400000 is 4551525521.

It can be written as a sum of positive squares in 24 ways, for example, as 94654063657024 + 30871091742976 = 9729032^2 + 5556176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125525155400009) 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 47 ways as a sum of consecutive naturals, for example, 111182599436 + ... + 111182600564.

It is an arithmetic number, because the mean of its divisors is an integer number (930012608475).

Almost surely, 2^{125525155400000} is an apocalyptic number.

125525155400000 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 125525155400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156242118223800).

125525155400000 is an abundant number, since it is smaller than the sum of its proper divisors (186959081047600).

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

125525155400000 is an frugal number, since it uses more digits than its factorization.

125525155400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 35.

The spelling of 125525155400000 in words is "one hundred twenty-five trillion, five hundred twenty-five billion, one hundred fifty-five million, four hundred thousand".