1151540544 has 336 divisors, whose sum is σ = 3919793024. Its totient is φ = 291962880.

The previous prime is 1151540513. The next prime is 1151540549. The reversal of 1151540544 is 4450451511.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1151540544³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151540549) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11871504 + ... + 11871600.

Almost surely, 2^1151540544 is an apocalyptic number.

1151540544 is a gapful number since it is divisible by the number (14) 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 1151540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959896512).

1151540544 is an abundant number, since it is smaller than the sum of its proper divisors (2768252480).

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

1151540544 is a wasteful number, since it uses less digits than its factorization.

1151540544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 1151540544 is about 33934.3563958417. The cubic root of 1151540544 is about 1048.1571739481.

The spelling of 1151540544 in words is "one billion, one hundred fifty-one million, five hundred forty thousand, five hundred forty-four".