1352143540 has 72 divisors (see below), whose sum is σ = 3205671336. Its totient is φ = 478368000.

The previous prime is 1352143537. The next prime is 1352143567. The reversal of 1352143540 is 453412531.

It can be written as a sum of positive squares in 4 ways, for example, as 146942884 + 1205200656 = 12122^2 + 34716^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1352143499 and 1352143508.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 81990 + ... + 97090.

It is an arithmetic number, because the mean of its divisors is an integer number (44523213).

Almost surely, 2^1352143540 is an apocalyptic number.

1352143540 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 1352143540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602835668).

1352143540 is an abundant number, since it is smaller than the sum of its proper divisors (1853527796).

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

1352143540 is a wasteful number, since it uses less digits than its factorization.

1352143540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15169 (or 15156 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1352143540 is about 36771.5044565762. The cubic root of 1352143540 is about 1105.7940935175.

The spelling of 1352143540 in words is "one billion, three hundred fifty-two million, one hundred forty-three thousand, five hundred forty".