125601083136000 has 1440 divisors, whose sum is σ = 497385967478400. Its totient is φ = 31521905049600.

The previous prime is 125601083135987. The next prime is 125601083136037. The reversal of 125601083136000 is 631380106521.

125601083136000 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 0 + 10 + 8 + 31 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5992693521 + ... + 5992714479.

It is an arithmetic number, because the mean of its divisors is an integer number (345406921860).

Almost surely, 2^{125601083136000} is an apocalyptic number.

125601083136000 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 125601083136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248692983739200).

125601083136000 is an abundant number, since it is smaller than the sum of its proper divisors (371784884342400).

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

125601083136000 is an equidigital number, since it uses as much as digits as its factorization.

125601083136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21042 (or 20986 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 125601083136000 in words is "one hundred twenty-five trillion, six hundred one billion, eighty-three million, one hundred thirty-six thousand".