1138927504 has 135 divisors (see below), whose sum is σ = 2671716369. Its totient is φ = 469772160.

The previous prime is 1138927499. The next prime is 1138927519. The reversal of 1138927504 is 4057298311.

The square root of 1138927504 is 33748.

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

It can be written as a sum of positive squares in only one way, i.e., 168480400 + 970447104 = 12980^2 + 31152^2 .

It is a Duffinian number.

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, 19303827 + ... + 19303885.

Almost surely, 2^1138927504 is an apocalyptic number.

1138927504 is the 33748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138927504

1138927504 is an abundant number, since it is smaller than the sum of its proper divisors (1532788865).

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

1138927504 is a wasteful number, since it uses less digits than its factorization.

1138927504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The cubic root of 1138927504 is about 1044.3162285880.

The spelling of 1138927504 in words is "one billion, one hundred thirty-eight million, nine hundred twenty-seven thousand, five hundred four".