125781254676 has 768 divisors, whose sum is σ = 438010675200. Its totient is φ = 30647393280.

The previous prime is 125781254671. The next prime is 125781254689. The reversal of 125781254676 is 676452187521.

It is a happy number.

125781254676 is a `hidden beast` number, since 1 + 2 + 57 + 8 + 125 + 467 + 6 = 666.

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

Its product of digits (5644800) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125781254671) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 918111280 + ... + 918111416.

It is an arithmetic number, because the mean of its divisors is an integer number (570326400).

Almost surely, 2^125781254676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125781254676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219005337600).

125781254676 is an abundant number, since it is smaller than the sum of its proper divisors (312229420524).

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

125781254676 is a wasteful number, since it uses less digits than its factorization.

125781254676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 125781254676 in words is "one hundred twenty-five billion, seven hundred eighty-one million, two hundred fifty-four thousand, six hundred seventy-six".