1093138000 has 40 divisors (see below), whose sum is σ = 2643212520. Its totient is φ = 437254400.

The previous prime is 1093137949. The next prime is 1093138003. The reversal of 1093138000 is 8313901.

It can be written as a sum of positive squares in 4 ways, for example, as 6512704 + 1086625296 = 2552^2 + 32964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093138003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271285 + ... + 275284.

It is an arithmetic number, because the mean of its divisors is an integer number (66080313).

Almost surely, 2^1093138000 is an apocalyptic number.

1093138000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1093138000 is an abundant number, since it is smaller than the sum of its proper divisors (1550074520).

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

1093138000 is an equidigital number, since it uses as much as digits as its factorization.

1093138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546592 (or 546576 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1093138000 is about 33062.6375233435. The cubic root of 1093138000 is about 1030.1291194526.

The spelling of 1093138000 in words is "one billion, ninety-three million, one hundred thirty-eight thousand".