1352142000 has 240 divisors, whose sum is σ = 5152661280. Its totient is φ = 327744000.

The previous prime is 1352141977. The next prime is 1352142007. The reversal of 1352142000 is 2412531.

It is a tau number, because it is divible by the number of its divisors (240).

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 (1352142007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194586 + ... + 201414.

It is an arithmetic number, because the mean of its divisors is an integer number (21469422).

Almost surely, 2^1352142000 is an apocalyptic number.

1352142000 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 1352142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576330640).

1352142000 is an abundant number, since it is smaller than the sum of its proper divisors (3800519280).

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

1352142000 is a wasteful number, since it uses less digits than its factorization.

1352142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1352142000 is about 36771.4835164425. The cubic root of 1352142000 is about 1105.7936737091.

Adding to 1352142000 its reverse (2412531), we get a palindrome (1354554531).

The spelling of 1352142000 in words is "one billion, three hundred fifty-two million, one hundred forty-two thousand".