1352106000 has 640 divisors, whose sum is σ = 5725824000. Its totient is φ = 304819200.

The previous prime is 1352105969. The next prime is 1352106001. The reversal of 1352106000 is 6012531.

1352106000 is a `hidden beast` number, since 1 + 3 + 52 + 10 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1352106001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18521964 + ... + 18522036.

It is an arithmetic number, because the mean of its divisors is an integer number (8946600).

Almost surely, 2^1352106000 is an apocalyptic number.

1352106000 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 1352106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862912000).

1352106000 is an abundant number, since it is smaller than the sum of its proper divisors (4373718000).

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

1352106000 is an equidigital number, since it uses as much as digits as its factorization.

1352106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1352106000 is about 36770.9940034261. The cubic root of 1352106000 is about 1105.7838599160.

Adding to 1352106000 its reverse (6012531), we get a palindrome (1358118531).

The spelling of 1352106000 in words is "one billion, three hundred fifty-two million, one hundred six thousand".