125945487360000 has 6800 divisors, whose sum is σ = 642107895200640. Its totient is φ = 23781703680000.

The previous prime is 125945487359929. The next prime is 125945487360059. The reversal of 125945487360000 is 63784549521.

It is a happy number.

125945487360000 is a `hidden beast` number, since 1 + 2 + 5 + 94 + 548 + 7 + 3 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 4342947839986 + ... + 4342947840014.

It is a 1-persistent number, because it is pandigital, but 2⋅125945487360000 = 251890974720000 is not.

Almost surely, 2^{125945487360000} is an apocalyptic number.

125945487360000 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 125945487360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321053947600320).

125945487360000 is an abundant number, since it is smaller than the sum of its proper divisors (516162407840640).

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

125945487360000 is an frugal number, since it uses more digits than its factorization.

125945487360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 125945487360000 in words is "one hundred twenty-five trillion, nine hundred forty-five billion, four hundred eighty-seven million, three hundred sixty thousand".