90386503137 has 72 divisors (see below), whose sum is σ = 155717682120. Its totient is φ = 50344519680.

The previous prime is 90386503121. The next prime is 90386503153. The reversal of 90386503137 is 73130568309.

90386503137 is a `hidden beast` number, since 9 + 0 + 3 + 8 + 6 + 503 + 137 = 666.

It is an interprime number because it is at equal distance from previous prime (90386503121) and next prime (90386503153).

It can be written as a sum of positive squares in 4 ways, for example, as 4498641 + 90382004496 = 2121^2 + 300636^2 .

It is not a de Polignac number, because 90386503137 - 2⁴ = 90386503121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90386503092 and 90386503101.

It is not an unprimeable number, because it can be changed into a prime (90386504137) 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, 37770013 + ... + 37772405.

It is an arithmetic number, because the mean of its divisors is an integer number (2162745585).

Almost surely, 2^90386503137 is an apocalyptic number.

It is an amenable number.

90386503137 is a deficient number, since it is larger than the sum of its proper divisors (65331178983).

90386503137 is a wasteful number, since it uses less digits than its factorization.

90386503137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 90386503137 in words is "ninety billion, three hundred eighty-six million, five hundred three thousand, one hundred thirty-seven".