125850735 has 24 divisors (see below), whose sum is σ = 218531664. Its totient is φ = 67000320.

The previous prime is 125850721. The next prime is 125850743. The reversal of 125850735 is 537058521.

125850735 is a `hidden beast` number, since 1 + 2 + 585 + 0 + 73 + 5 = 666.

It is not a de Polignac number, because 125850735 - 2⁶ = 125850671 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 125850735.

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 23 ways as a sum of consecutive naturals, for example, 26664 + ... + 31026.

It is an arithmetic number, because the mean of its divisors is an integer number (9105486).

Almost surely, 2^125850735 is an apocalyptic number.

125850735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125850735 is a deficient number, since it is larger than the sum of its proper divisors (92680929).

125850735 is a wasteful number, since it uses less digits than its factorization.

125850735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 125850735 is about 11218.3213984981. The cubic root of 125850735 is about 501.1317496858.

It can be divided in two parts, 125 and 850735, that added together give a triangular number (850860 = T₁₃₀₄).

The spelling of 125850735 in words is "one hundred twenty-five million, eight hundred fifty thousand, seven hundred thirty-five".