1135151520 has 192 divisors, whose sum is σ = 3711246336. Its totient is φ = 291456000.

The previous prime is 1135151503. The next prime is 1135151531. The reversal of 1135151520 is 251515311.

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

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 31 ways as a sum of consecutive naturals, for example, 1511145 + ... + 1511895.

It is an arithmetic number, because the mean of its divisors is an integer number (19329408).

Almost surely, 2^1135151520 is an apocalyptic number.

1135151520 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 1135151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855623168).

1135151520 is an abundant number, since it is smaller than the sum of its proper divisors (2576094816).

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

1135151520 is a wasteful number, since it uses less digits than its factorization.

1135151520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 1135151520 is about 33692.0097352473. The cubic root of 1135151520 is about 1043.1608470915.

Adding to 1135151520 its reverse (251515311), we get a palindrome (1386666831).

The spelling of 1135151520 in words is "one billion, one hundred thirty-five million, one hundred fifty-one thousand, five hundred twenty".