1154145616 has 40 divisors (see below), whose sum is σ = 2422492520. Its totient is φ = 532666368.

The previous prime is 1154145611. The next prime is 1154145631. The reversal of 1154145616 is 6165414511.

It can be written as a sum of positive squares in 4 ways, for example, as 278222400 + 875923216 = 16680^2 + 29596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1154145611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18736 + ... + 51568.

It is an arithmetic number, because the mean of its divisors is an integer number (60562313).

Almost surely, 2^1154145616 is an apocalyptic number.

1154145616 is a gapful number since it is divisible by the number (16) 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 1154145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211246260).

1154145616 is an abundant number, since it is smaller than the sum of its proper divisors (1268346904).

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

1154145616 is an equidigital number, since it uses as much as digits as its factorization.

1154145616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32880 (or 32848 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 1154145616 is about 33972.7187019232. The cubic root of 1154145616 is about 1048.9469763454.

The spelling of 1154145616 in words is "one billion, one hundred fifty-four million, one hundred forty-five thousand, six hundred sixteen".