1356142140 has 144 divisors (see below), whose sum is σ = 4207563360. Its totient is φ = 353456640.

The previous prime is 1356142133. The next prime is 1356142147. The reversal of 1356142140 is 412416531.

It is a happy number.

1356142140 is a `hidden beast` number, since 1 + 3 + 5 + 614 + 2 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1356142133) and next prime (1356142147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356142147) 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, 2941510 + ... + 2941970.

It is an arithmetic number, because the mean of its divisors is an integer number (29219190).

Almost surely, 2^1356142140 is an apocalyptic number.

1356142140 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 1356142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103781680).

1356142140 is an abundant number, since it is smaller than the sum of its proper divisors (2851421220).

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

1356142140 is a wasteful number, since it uses less digits than its factorization.

1356142140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1356142140 is about 36825.8352247441. The cubic root of 1356142140 is about 1106.8830500982.

Adding to 1356142140 its reverse (412416531), we get a palindrome (1768558671).

The spelling of 1356142140 in words is "one billion, three hundred fifty-six million, one hundred forty-two thousand, one hundred forty".