1138657536 has 243 divisors, whose sum is σ = 3561093081. Its totient is φ = 349857792.

The previous prime is 1138657493. The next prime is 1138657561. The reversal of 1138657536 is 6357568311.

The square root of 1138657536 is 33744.

It is a perfect power (a square), and thus also a powerful number.

1138657536 is a `hidden beast` number, since 11 + 38 + 6 + 575 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1018886400 + 119771136 = 31920^2 + 10944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1138657491 and 1138657500.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30774510 + ... + 30774546.

Almost surely, 2^1138657536 is an apocalyptic number.

1138657536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1138657536 is the 33744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138657536

1138657536 is an abundant number, since it is smaller than the sum of its proper divisors (2422435545).

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

1138657536 is an equidigital number, since it uses as much as digits as its factorization.

1138657536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 61 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The cubic root of 1138657536 is about 1044.2337081929.

The spelling of 1138657536 in words is "one billion, one hundred thirty-eight million, six hundred fifty-seven thousand, five hundred thirty-six".