913134600 has 768 divisors, whose sum is σ = 4017600000. Its totient is φ = 189665280.

The previous prime is 913134587. The next prime is 913134601. The reversal of 913134600 is 6431319.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (913134601) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 31487386 + ... + 31487414.

It is an arithmetic number, because the mean of its divisors is an integer number (5231250).

Almost surely, 2^913134600 is an apocalyptic number.

913134600 is a gapful number since it is divisible by the number (90) 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 913134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008800000).

913134600 is an abundant number, since it is smaller than the sum of its proper divisors (3104465400).

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

913134600 is a wasteful number, since it uses less digits than its factorization.

913134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 913134600 is about 30218.1170823068. The cubic root of 913134600 is about 970.1635038088.

Adding to 913134600 its reverse (6431319), we get a palindrome (919565919).

The spelling of 913134600 in words is "nine hundred thirteen million, one hundred thirty-four thousand, six hundred".