1356142000 has 80 divisors (see below), whose sum is σ = 3288209184. Its totient is φ = 540960000.

The previous prime is 1356141977. The next prime is 1356142001. The reversal of 1356142000 is 2416531.

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

It is a super-2 number, since 2×1356142000² = 3678242248328000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1356142001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981310 + ... + 982690.

Almost surely, 2^1356142000 is an apocalyptic number.

1356142000 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 1356142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644104592).

1356142000 is an abundant number, since it is smaller than the sum of its proper divisors (1932067184).

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

1356142000 is a wasteful number, since it uses less digits than its factorization.

1356142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1356142000 is about 36825.8333239046. The cubic root of 1356142000 is about 1106.8830120089.

Adding to 1356142000 its reverse (2416531), we get a palindrome (1358558531).

The spelling of 1356142000 in words is "one billion, three hundred fifty-six million, one hundred forty-two thousand".