1352140800 has 144 divisors (see below), whose sum is σ = 4470495120. Its totient is φ = 360529920.

The previous prime is 1352140789. The next prime is 1352140861. The reversal of 1352140800 is 80412531.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 149199 + ... + 158001.

It is an arithmetic number, because the mean of its divisors is an integer number (31045105).

Almost surely, 2^1352140800 is an apocalyptic number.

1352140800 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 1352140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235247560).

1352140800 is an abundant number, since it is smaller than the sum of its proper divisors (3118354320).

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

1352140800 is an equidigital number, since it uses as much as digits as its factorization.

1352140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8838 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1352140800 is about 36771.4671994469. The cubic root of 1352140800 is about 1105.7933465855.

The spelling of 1352140800 in words is "one billion, three hundred fifty-two million, one hundred forty thousand, eight hundred".