1138657537 has 16 divisors (see below), whose sum is σ = 1209275280. Its totient is φ = 1070496000.

The previous prime is 1138657493. The next prime is 1138657561. The reversal of 1138657537 is 7357568311.

It is a Cunningham number, because it is equal to 33744²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 37015056 + 1101642481 = 6084^2 + 33191^2 .

It is a cyclic number.

It is not a de Polignac number, because 1138657537 - 2⁷ = 1138657409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1138657337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 175483 + ... + 181855.

It is an arithmetic number, because the mean of its divisors is an integer number (75579705).

Almost surely, 2^1138657537 is an apocalyptic number.

It is an amenable number.

1138657537 is a deficient number, since it is larger than the sum of its proper divisors (70617743).

1138657537 is a wasteful number, since it uses less digits than its factorization.

1138657537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564.

The product of its digits is 529200, while the sum is 46.

The square root of 1138657537 is about 33744.0000148174. Note that the first 4 decimals coincide. The cubic root of 1138657537 is about 1044.2337084986.

The spelling of 1138657537 in words is "one billion, one hundred thirty-eight million, six hundred fifty-seven thousand, five hundred thirty-seven".