1127148000 has 192 divisors, whose sum is σ = 4028693760. Its totient is φ = 273216000.

The previous prime is 1127147971. The next prime is 1127148013. The reversal of 1127148000 is 8417211.

It is a super-2 number, since 2×1127148000² = 2540925227808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127731 + ... + 136269.

It is an arithmetic number, because the mean of its divisors is an integer number (20982780).

Almost surely, 2^1127148000 is an apocalyptic number.

1127148000 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 1127148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014346880).

1127148000 is an abundant number, since it is smaller than the sum of its proper divisors (2901545760).

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

1127148000 is a wasteful number, since it uses less digits than its factorization.

1127148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8578 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1127148000 is about 33573.0248860599. The cubic root of 1127148000 is about 1040.7034195879.

The spelling of 1127148000 in words is "one billion, one hundred twenty-seven million, one hundred forty-eight thousand".