1149815520 has 384 divisors, whose sum is σ = 4702924800. Its totient is φ = 256905216.

The previous prime is 1149815507. The next prime is 1149815531. The reversal of 1149815520 is 255189411.

1149815520 is a `hidden beast` number, since 1 + 14 + 98 + 1 + 552 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1420876 + ... + 1421684.

It is an arithmetic number, because the mean of its divisors is an integer number (12247200).

Almost surely, 2^1149815520 is an apocalyptic number.

1149815520 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 1149815520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351462400).

1149815520 is an abundant number, since it is smaller than the sum of its proper divisors (3553109280).

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

1149815520 is a wasteful number, since it uses less digits than its factorization.

1149815520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1149815520 is about 33908.9297973262. The cubic root of 1149815520 is about 1047.6335276340.

The spelling of 1149815520 in words is "one billion, one hundred forty-nine million, eight hundred fifteen thousand, five hundred twenty".