1134151200 has 576 divisors, whose sum is σ = 5057176320. Its totient is φ = 238878720.

The previous prime is 1134151181. The next prime is 1134151217. The reversal of 1134151200 is 21514311.

1134151200 is a `hidden beast` number, since 113 + 41 + 512 + 0 + 0 = 666.

It is a super-2 number, since 2×1134151200² = 2572597888922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1965312 + ... + 1965888.

It is an arithmetic number, because the mean of its divisors is an integer number (8779820).

Almost surely, 2^1134151200 is an apocalyptic number.

1134151200 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 1134151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528588160).

1134151200 is an abundant number, since it is smaller than the sum of its proper divisors (3923025120).

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

1134151200 is a wasteful number, since it uses less digits than its factorization.

1134151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1134151200 is about 33677.1614005694. The cubic root of 1134151200 is about 1042.8543384282.

Adding to 1134151200 its reverse (21514311), we get a palindrome (1155665511).

The spelling of 1134151200 in words is "one billion, one hundred thirty-four million, one hundred fifty-one thousand, two hundred".