45742125 has 64 divisors (see below), whose sum is σ = 89526528. Its totient is φ = 20448000.

The previous prime is 45742117. The next prime is 45742129. The reversal of 45742125 is 52124754.

It is not a de Polignac number, because 45742125 - 2³ = 45742117 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45742092 and 45742101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45742129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53199 + ... + 54051.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 2^45742125 is an apocalyptic number.

It is an amenable number.

45742125 is a deficient number, since it is larger than the sum of its proper divisors (43784403).

45742125 is a wasteful number, since it uses less digits than its factorization.

45742125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 885 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 45742125 is about 6763.2924674303. The cubic root of 45742125 is about 357.6339824144.

Adding to 45742125 its reverse (52124754), we get a palindrome (97866879).

It can be divided in two parts, 457421 and 25, that added together give a triangular number (457446 = T₉₅₆).

The spelling of 45742125 in words is "forty-five million, seven hundred forty-two thousand, one hundred twenty-five".