125521151325400 has 96 divisors (see below), whose sum is σ = 294585435325440. Its totient is φ = 49735623762560.

The previous prime is 125521151325391. The next prime is 125521151325421. The reversal of 125521151325400 is 4523151125521.

It is a self number, because there is not a number n which added to its sum of digits gives 125521151325400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305879157 + ... + 306289243.

It is an arithmetic number, because the mean of its divisors is an integer number (3068598284640).

Almost surely, 2^{125521151325400} is an apocalyptic number.

125521151325400 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 125521151325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147292717662720).

125521151325400 is an abundant number, since it is smaller than the sum of its proper divisors (169064284000040).

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

125521151325400 is a wasteful number, since it uses less digits than its factorization.

125521151325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424513 (or 424504 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 37.

The spelling of 125521151325400 in words is "one hundred twenty-five trillion, five hundred twenty-one billion, one hundred fifty-one million, three hundred twenty-five thousand, four hundred".