1153104540 has 192 divisors, whose sum is σ = 3901685760. Its totient is φ = 248751360.

The previous prime is 1153104529. The next prime is 1153104571. The reversal of 1153104540 is 454013511.

It is a happy number.

It is a super-2 number, since 2×1153104540² = 2659300160337223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1153104540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 762385 + ... + 763895.

It is an arithmetic number, because the mean of its divisors is an integer number (20321280).

Almost surely, 2^1153104540 is an apocalyptic number.

1153104540 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 1153104540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950842880).

1153104540 is an abundant number, since it is smaller than the sum of its proper divisors (2748581220).

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

1153104540 is a wasteful number, since it uses less digits than its factorization.

1153104540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1153104540 is about 33957.3930094759. The cubic root of 1153104540 is about 1048.6314869705.

The spelling of 1153104540 in words is "one billion, one hundred fifty-three million, one hundred four thousand, five hundred forty".