90138128 has 20 divisors (see below), whose sum is σ = 183834960. Its totient is φ = 42696864.

The previous prime is 90138101. The next prime is 90138143. The reversal of 90138128 is 82183109.

It is a junction number, because it is equal to n+sod(n) for n = 90138094 and 90138103.

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, 147950 + ... + 148557.

It is an arithmetic number, because the mean of its divisors is an integer number (9191748).

Almost surely, 2^90138128 is an apocalyptic number.

It is an amenable number.

90138128 is an abundant number, since it is smaller than the sum of its proper divisors (93696832).

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

90138128 is a wasteful number, since it uses less digits than its factorization.

90138128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296534 (or 296528 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 90138128 is about 9494.1101742080. The cubic root of 90138128 is about 448.3696194963.

The spelling of 90138128 in words is "ninety million, one hundred thirty-eight thousand, one hundred twenty-eight".