1134348600 has 384 divisors, whose sum is σ = 4493998080. Its totient is φ = 229824000.

The previous prime is 1134348547. The next prime is 1134348637. The reversal of 1134348600 is 68434311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1986315 + ... + 1986885.

It is an arithmetic number, because the mean of its divisors is an integer number (11703120).

Almost surely, 2^1134348600 is an apocalyptic number.

1134348600 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 1134348600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246999040).

1134348600 is an abundant number, since it is smaller than the sum of its proper divisors (3359649480).

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

1134348600 is a wasteful number, since it uses less digits than its factorization.

1134348600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1134348600 is about 33680.0920426296. The cubic root of 1134348600 is about 1042.9148381523.

The spelling of 1134348600 in words is "one billion, one hundred thirty-four million, three hundred forty-eight thousand, six hundred".