1138157667 has 12 divisors (see below), whose sum is σ = 1740711960. Its totient is φ = 714138048.

The previous prime is 1138157659. The next prime is 1138157689. The reversal of 1138157667 is 7667518311.

1138157667 is a `hidden beast` number, since 1 + 13 + 8 + 1 + 576 + 67 = 666.

1138157667 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1138157667 - 2³ = 1138157659 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1138157567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3719317 + ... + 3719622.

It is an arithmetic number, because the mean of its divisors is an integer number (145059330).

Almost surely, 2^1138157667 is an apocalyptic number.

1138157667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1138157667 is a deficient number, since it is larger than the sum of its proper divisors (602554293).

1138157667 is a wasteful number, since it uses less digits than its factorization.

1138157667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7438962 (or 7438959 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 1138157667 is about 33736.5924035016. The cubic root of 1138157667 is about 1044.0808801346.

The spelling of 1138157667 in words is "one billion, one hundred thirty-eight million, one hundred fifty-seven thousand, six hundred sixty-seven".