1138524192 has 144 divisors (see below), whose sum is σ = 3536664768. Its totient is φ = 345300480.

The previous prime is 1138524181. The next prime is 1138524241. The reversal of 1138524192 is 2914258311.

1138524192 is a `hidden beast` number, since 11 + 38 + 524 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263683 + ... + 267965.

It is an arithmetic number, because the mean of its divisors is an integer number (24560172).

Almost surely, 2^1138524192 is an apocalyptic number.

1138524192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138524192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768332384).

1138524192 is an abundant number, since it is smaller than the sum of its proper divisors (2398140576).

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

1138524192 is a wasteful number, since it uses less digits than its factorization.

1138524192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4372 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1138524192 is about 33742.0241242282. The cubic root of 1138524192 is about 1044.1929444775.

The spelling of 1138524192 in words is "one billion, one hundred thirty-eight million, five hundred twenty-four thousand, one hundred ninety-two".