125640090 has 24 divisors (see below), whose sum is σ = 326664468. Its totient is φ = 33504000.

The previous prime is 125640079. The next prime is 125640091. The reversal of 125640090 is 90046521.

125640090 is a `hidden beast` number, since 1 + 256 + 400 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119836809 + 5803281 = 10947^2 + 2409^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125640091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697911 + ... + 698090.

Almost surely, 2^125640090 is an apocalyptic number.

125640090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125640090 is an abundant number, since it is smaller than the sum of its proper divisors (201024378).

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

125640090 is a wasteful number, since it uses less digits than its factorization.

125640090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396014 (or 1396011 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 125640090 is about 11208.9290300189. The cubic root of 125640090 is about 500.8520006983.

The spelling of 125640090 in words is "one hundred twenty-five million, six hundred forty thousand, ninety".