125785919 has 16 divisors (see below), whose sum is σ = 151828992. Its totient is φ = 101875488.

The previous prime is 125785901. The next prime is 125785927. The reversal of 125785919 is 919587521.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 125785919 - 2¹⁶ = 125720383 is a prime.

It is a super-2 number, since 2×125785919² = 31644194837349122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125785619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8657 + ... + 18069.

It is an arithmetic number, because the mean of its divisors is an integer number (9489312).

Almost surely, 2^125785919 is an apocalyptic number.

125785919 is a deficient number, since it is larger than the sum of its proper divisors (26043073).

125785919 is an equidigital number, since it uses as much as digits as its factorization.

125785919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526.

The product of its digits is 226800, while the sum is 47.

The square root of 125785919 is about 11215.4321807053. The cubic root of 125785919 is about 501.0457034838.

The spelling of 125785919 in words is "one hundred twenty-five million, seven hundred eighty-five thousand, nine hundred nineteen".