1158148800 has 672 divisors, whose sum is σ = 4762195200. Its totient is φ = 272056320.

The previous prime is 1158148793. The next prime is 1158148807. The reversal of 1158148800 is 88418511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1158148793) and next prime (1158148807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1158148807) 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 95 ways as a sum of consecutive naturals, for example, 13953559 + ... + 13953641.

It is an arithmetic number, because the mean of its divisors is an integer number (7086600).

Almost surely, 2^1158148800 is an apocalyptic number.

1158148800 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 1158148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381097600).

1158148800 is an abundant number, since it is smaller than the sum of its proper divisors (3604046400).

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

1158148800 is a wasteful number, since it uses less digits than its factorization.

1158148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1158148800 is about 34031.5853289264. The cubic root of 1158148800 is about 1050.1583434670.

The spelling of 1158148800 in words is "one billion, one hundred fifty-eight million, one hundred forty-eight thousand, eight hundred".