125746113456000 has 384 divisors, whose sum is σ = 458988806764800. Its totient is φ = 32982584832000.

The previous prime is 125746113455987. The next prime is 125746113456169. The reversal of 125746113456000 is 654311647521.

It is a happy number.

125746113456000 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 4 + 6 + 1 + 1 + 34 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1626321 + ... + 15941679.

It is an arithmetic number, because the mean of its divisors is an integer number (1195283350950).

Almost surely, 2^{125746113456000} is an apocalyptic number.

125746113456000 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 125746113456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229494403382400).

125746113456000 is an abundant number, since it is smaller than the sum of its proper divisors (333242693308800).

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

125746113456000 is a wasteful number, since it uses less digits than its factorization.

125746113456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14315455 (or 14315430 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 125746113456000 in words is "one hundred twenty-five trillion, seven hundred forty-six billion, one hundred thirteen million, four hundred fifty-six thousand".