1157133600 has 360 divisors, whose sum is σ = 4824566208. Its totient is φ = 264384000.

The previous prime is 1157133541. The next prime is 1157133643. The reversal of 1157133600 is 63317511.

1157133600 is a `hidden beast` number, since 1 + 1 + 57 + 1 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 452325 + ... + 454875.

Almost surely, 2^1157133600 is an apocalyptic number.

1157133600 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 1157133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412283104).

1157133600 is an abundant number, since it is smaller than the sum of its proper divisors (3667432608).

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

1157133600 is a wasteful number, since it uses less digits than its factorization.

1157133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1157133600 is about 34016.6665033480. Note that the first 3 decimals coincide. The cubic root of 1157133600 is about 1049.8514075441.

The spelling of 1157133600 in words is "one billion, one hundred fifty-seven million, one hundred thirty-three thousand, six hundred".