125853468 has 48 divisors (see below), whose sum is σ = 318084480. Its totient is φ = 38499264.

The previous prime is 125853457. The next prime is 125853479. The reversal of 125853468 is 864358521.

It is an interprime number because it is at equal distance from previous prime (125853457) and next prime (125853479).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25671 + ... + 30177.

It is an arithmetic number, because the mean of its divisors is an integer number (6626760).

Almost surely, 2^125853468 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 125853468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159042240).

125853468 is an abundant number, since it is smaller than the sum of its proper divisors (192231012).

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

125853468 is a wasteful number, since it uses less digits than its factorization.

125853468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706 (or 4704 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 125853468 is about 11218.4432075043. The cubic root of 125853468 is about 501.1353772190.

The spelling of 125853468 in words is "one hundred twenty-five million, eight hundred fifty-three thousand, four hundred sixty-eight".