1151132400 has 360 divisors, whose sum is σ = 4470495120. Its totient is φ = 271872000.

The previous prime is 1151132383. The next prime is 1151132431. The reversal of 1151132400 is 42311511.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1623246 + ... + 1623954.

It is an arithmetic number, because the mean of its divisors is an integer number (12418042).

Almost surely, 2^1151132400 is an apocalyptic number.

1151132400 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 1151132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235247560).

1151132400 is an abundant number, since it is smaller than the sum of its proper divisors (3319362720).

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

1151132400 is a wasteful number, since it uses less digits than its factorization.

1151132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 771 counting only the distinct ones).

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

The square root of 1151132400 is about 33928.3421345635. The cubic root of 1151132400 is about 1048.0333254752.

Adding to 1151132400 its reverse (42311511), we get a palindrome (1193443911).

The spelling of 1151132400 in words is "one billion, one hundred fifty-one million, one hundred thirty-two thousand, four hundred".