1303345152 has 144 divisors (see below), whose sum is σ = 3887432640. Its totient is φ = 420249600.

The previous prime is 1303345123. The next prime is 1303345177. The reversal of 1303345152 is 2515433031.

1303345152 is a `hidden beast` number, since 1 + 303 + 345 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570252 + ... + 572532.

It is an arithmetic number, because the mean of its divisors is an integer number (26996060).

Almost surely, 2^1303345152 is an apocalyptic number.

1303345152 is a gapful number since it is divisible by the number (12) 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 1303345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943716320).

1303345152 is an abundant number, since it is smaller than the sum of its proper divisors (2584087488).

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

1303345152 is a wasteful number, since it uses less digits than its factorization.

1303345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1303345152 is about 36101.8718628273. The cubic root of 1303345152 is about 1092.3282030828.

Adding to 1303345152 its reverse (2515433031), we get a palindrome (3818778183).

It can be divided in two parts, 13033 and 45152, that added together give a palindrome (58185).

The spelling of 1303345152 in words is "one billion, three hundred three million, three hundred forty-five thousand, one hundred fifty-two".