125746236000 has 768 divisors, whose sum is σ = 570697021440. Its totient is φ = 26127360000.

The previous prime is 125746235999. The next prime is 125746236001. The reversal of 125746236000 is 632647521.

125746236000 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 46 + 2 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125746235999) and next prime (125746236001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125746236001) 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 127 ways as a sum of consecutive naturals, for example, 8308440 + ... + 8323560.

It is an arithmetic number, because the mean of its divisors is an integer number (743095080).

Almost surely, 2^125746236000 is an apocalyptic number.

125746236000 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 125746236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285348510720).

125746236000 is an abundant number, since it is smaller than the sum of its proper divisors (444950785440).

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

125746236000 is a wasteful number, since it uses less digits than its factorization.

125746236000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173 (or 15149 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 125746236000 in words is "one hundred twenty-five billion, seven hundred forty-six million, two hundred thirty-six thousand".