1153541220 has 192 divisors, whose sum is σ = 3598070784. Its totient is φ = 274337280.

The previous prime is 1153541201. The next prime is 1153541251. The reversal of 1153541220 is 221453511.

It is a happy number.

It is a super-3 number, since 3×1153541220³ (a number of 28 digits) contains 333 as substring.

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, 5466915 + ... + 5467125.

It is an arithmetic number, because the mean of its divisors is an integer number (18739952).

Almost surely, 2^1153541220 is an apocalyptic number.

1153541220 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 1153541220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799035392).

1153541220 is an abundant number, since it is smaller than the sum of its proper divisors (2444529564).

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

1153541220 is a wasteful number, since it uses less digits than its factorization.

1153541220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

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

The square root of 1153541220 is about 33963.8222230655. The cubic root of 1153541220 is about 1048.7638423034.

Adding to 1153541220 its reverse (221453511), we get a palindrome (1374994731).

The spelling of 1153541220 in words is "one billion, one hundred fifty-three million, five hundred forty-one thousand, two hundred twenty".