1150131840 has 512 divisors, whose sum is σ = 4441651200. Its totient is φ = 249446400.

The previous prime is 1150131833. The next prime is 1150131841. The reversal of 1150131840 is 481310511.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1150131840.

It is not an unprimeable number, because it can be changed into a prime (1150131841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16199005 + ... + 16199075.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100).

Almost surely, 2^1150131840 is an apocalyptic number.

1150131840 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 1150131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220825600).

1150131840 is an abundant number, since it is smaller than the sum of its proper divisors (3291519360).

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

1150131840 is a wasteful number, since it uses less digits than its factorization.

1150131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1150131840 is about 33913.5937346663. The cubic root of 1150131840 is about 1047.7295885666.

The spelling of 1150131840 in words is "one billion, one hundred fifty million, one hundred thirty-one thousand, eight hundred forty".