1134893100 has 144 divisors (see below), whose sum is σ = 3599519616. Its totient is φ = 273792000.

The previous prime is 1134893093. The next prime is 1134893131. The reversal of 1134893100 is 13984311.

It is a super-4 number, since 4×1134893100⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 794587 + ... + 796013.

It is an arithmetic number, because the mean of its divisors is an integer number (24996664).

Almost surely, 2^1134893100 is an apocalyptic number.

1134893100 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 1134893100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799759808).

1134893100 is an abundant number, since it is smaller than the sum of its proper divisors (2464626516).

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

1134893100 is a wasteful number, since it uses less digits than its factorization.

1134893100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1134893100 is about 33688.1744830437. The cubic root of 1134893100 is about 1043.0816817172.

The spelling of 1134893100 in words is "one billion, one hundred thirty-four million, eight hundred ninety-three thousand, one hundred".