125352045 has 72 divisors (see below), whose sum is σ = 272255256. Its totient is φ = 52883712.

The previous prime is 125352043. The next prime is 125352083. The reversal of 125352045 is 540253521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3337929 + 122014116 = 1827^2 + 11046^2 .

It is not a de Polignac number, because 125352045 - 2¹ = 125352043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125352043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26479 + ... + 30851.

It is an arithmetic number, because the mean of its divisors is an integer number (3781323).

Almost surely, 2^125352045 is an apocalyptic number.

125352045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125352045 is an abundant number, since it is smaller than the sum of its proper divisors (146903211).

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

125352045 is a wasteful number, since it uses less digits than its factorization.

125352045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 125352045 is about 11196.0727489598. The cubic root of 125352045 is about 500.4689533613.

The spelling of 125352045 in words is "one hundred twenty-five million, three hundred fifty-two thousand, forty-five".