1157334200 has 96 divisors (see below), whose sum is σ = 2973024000. Its totient is φ = 415459200.

The previous prime is 1157334161. The next prime is 1157334223. The reversal of 1157334200 is 24337511.

It is a self number, because there is not a number n which added to its sum of digits gives 1157334200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170471 + ... + 177129.

It is an arithmetic number, because the mean of its divisors is an integer number (30969000).

Almost surely, 2^1157334200 is an apocalyptic number.

1157334200 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 1157334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486512000).

1157334200 is an abundant number, since it is smaller than the sum of its proper divisors (1815689800).

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

1157334200 is a wasteful number, since it uses less digits than its factorization.

1157334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 1157334200 is about 34019.6149302134. The cubic root of 1157334200 is about 1049.9120712461.

The spelling of 1157334200 in words is "one billion, one hundred fifty-seven million, three hundred thirty-four thousand, two hundred".