125253850176 has 1344 divisors, whose sum is σ = 499108780800. Its totient is φ = 30433148928.

The previous prime is 125253850151. The next prime is 125253850177. The reversal of 125253850176 is 671058352521.

125253850176 is a `hidden beast` number, since 1 + 2 + 52 + 538 + 50 + 17 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (125253850177) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1108441096 + ... + 1108441208.

It is an arithmetic number, because the mean of its divisors is an integer number (371360700).

Almost surely, 2^125253850176 is an apocalyptic number.

125253850176 is a gapful number since it is divisible by the number (16) 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 125253850176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249554390400).

125253850176 is an abundant number, since it is smaller than the sum of its proper divisors (373854930624).

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

125253850176 is a wasteful number, since it uses less digits than its factorization.

125253850176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 125253850176 in words is "one hundred twenty-five billion, two hundred fifty-three million, eight hundred fifty thousand, one hundred seventy-six".