1352133440 has 224 divisors, whose sum is σ = 3823411200. Its totient is φ = 455196672.

The previous prime is 1352133401. The next prime is 1352133451. The reversal of 1352133440 is 443312531.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10646657 + ... + 10646783.

It is an arithmetic number, because the mean of its divisors is an integer number (17068800).

Almost surely, 2^1352133440 is an apocalyptic number.

1352133440 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 1352133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911705600).

1352133440 is an abundant number, since it is smaller than the sum of its proper divisors (2471277760).

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

1352133440 is an equidigital number, since it uses as much as digits as its factorization.

1352133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 1352133440 is about 36771.3671217158. The cubic root of 1352133440 is about 1105.7913402230.

Adding to 1352133440 its reverse (443312531), we get a palindrome (1795445971).

The spelling of 1352133440 in words is "one billion, three hundred fifty-two million, one hundred thirty-three thousand, four hundred forty".