1146510540 has 288 divisors, whose sum is σ = 4241502720. Its totient is φ = 244850688.

The previous prime is 1146510539. The next prime is 1146510557. The reversal of 1146510540 is 450156411.

1146510540 is a `hidden beast` number, since 1 + 1 + 4 + 651 + 0 + 5 + 4 + 0 = 666.

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, 1986732 + ... + 1987308.

It is an arithmetic number, because the mean of its divisors is an integer number (14727440).

Almost surely, 2^1146510540 is an apocalyptic number.

1146510540 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 1146510540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120751360).

1146510540 is an abundant number, since it is smaller than the sum of its proper divisors (3094992180).

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

1146510540 is a wasteful number, since it uses less digits than its factorization.

1146510540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1146510540 is about 33860.1615471634. The cubic root of 1146510540 is about 1046.6288068761.

Adding to 1146510540 its reverse (450156411), we get a palindrome (1596666951).

The spelling of 1146510540 in words is "one billion, one hundred forty-six million, five hundred ten thousand, five hundred forty".