1353152000 has 80 divisors (see below), whose sum is σ = 3374328672. Its totient is φ = 541235200.

The previous prime is 1353151999. The next prime is 1353152011. The reversal of 1353152000 is 2513531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53429 + ... + 74571.

Almost surely, 2^1353152000 is an apocalyptic number.

1353152000 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 1353152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687164336).

1353152000 is an abundant number, since it is smaller than the sum of its proper divisors (2021176672).

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

1353152000 is an frugal number, since it uses more digits than its factorization.

1353152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21176 (or 21150 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1353152000 is about 36785.2144210143. The cubic root of 1353152000 is about 1106.0689341585.

Adding to 1353152000 its reverse (2513531), we get a palindrome (1355665531).

The spelling of 1353152000 in words is "one billion, three hundred fifty-three million, one hundred fifty-two thousand".