125971146 has 64 divisors (see below), whose sum is σ = 322191360. Its totient is φ = 35737200.

The previous prime is 125971141. The next prime is 125971171. The reversal of 125971146 is 641179521.

125971146 is a `hidden beast` number, since 12 + 597 + 11 + 46 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 125971146.

It is not an unprimeable number, because it can be changed into a prime (125971141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55975 + ... + 58181.

It is an arithmetic number, because the mean of its divisors is an integer number (5034240).

Almost surely, 2^125971146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125971146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161095680).

125971146 is an abundant number, since it is smaller than the sum of its proper divisors (196220214).

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

125971146 is a wasteful number, since it uses less digits than its factorization.

125971146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2370 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 125971146 is about 11223.6868274199. The cubic root of 125971146 is about 501.2915224007.

The spelling of 125971146 in words is "one hundred twenty-five million, nine hundred seventy-one thousand, one hundred forty-six".