90125120 has 28 divisors (see below), whose sum is σ = 214611204. Its totient is φ = 36049920.

The previous prime is 90125111. The next prime is 90125131. The reversal of 90125120 is 2152109.

It can be written as a sum of positive squares in 2 ways, for example, as 20502784 + 69622336 = 4528^2 + 8344^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 90125092 and 90125101.

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 3 ways as a sum of consecutive naturals, for example, 140501 + ... + 141140.

Almost surely, 2^90125120 is an apocalyptic number.

It is an amenable number.

90125120 is an abundant number, since it is smaller than the sum of its proper divisors (124486084).

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

90125120 is a wasteful number, since it uses less digits than its factorization.

90125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281658 (or 281648 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 90125120 is about 9493.4250931895. The cubic root of 90125120 is about 448.3480501089.

Adding to 90125120 its reverse (2152109), we get a palindrome (92277229).

The spelling of 90125120 in words is "ninety million, one hundred twenty-five thousand, one hundred twenty".