1138854600 has 192 divisors, whose sum is σ = 4224729600. Its totient is φ = 280316160.

The previous prime is 1138854589. The next prime is 1138854611. The reversal of 1138854600 is 64588311.

1138854600 is a `hidden beast` number, since 11 + 38 + 8 + 5 + 4 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1138854589) and next prime (1138854611).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 62089 + ... + 78311.

It is an arithmetic number, because the mean of its divisors is an integer number (22003800).

Almost surely, 2^1138854600 is an apocalyptic number.

1138854600 is a gapful number since it is divisible by the number (10) 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 1138854600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112364800).

1138854600 is an abundant number, since it is smaller than the sum of its proper divisors (3085875000).

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

1138854600 is a wasteful number, since it uses less digits than its factorization.

1138854600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16261 (or 16246 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1138854600 is about 33746.9198594479. The cubic root of 1138854600 is about 1044.2939455030.

The spelling of 1138854600 in words is "one billion, one hundred thirty-eight million, eight hundred fifty-four thousand, six hundred".