142052144256 has 320 divisors, whose sum is σ = 471006264960. Its totient is φ = 42128640000.

The previous prime is 142052144249. The next prime is 142052144263. The reversal of 142052144256 is 652441250241.

142052144256 is a `hidden beast` number, since 1 + 4 + 205 + 2 + 1 + 442 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (142052144249) and next prime (142052144263).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142052144256.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5347006 + ... + 5373506.

It is an arithmetic number, because the mean of its divisors is an integer number (1471894578).

Almost surely, 2^142052144256 is an apocalyptic number.

142052144256 is a gapful number since it is divisible by the number (16) 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 142052144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235503132480).

142052144256 is an abundant number, since it is smaller than the sum of its proper divisors (328954120704).

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

142052144256 is a wasteful number, since it uses less digits than its factorization.

142052144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26585 (or 26564 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 142052144256 its reverse (652441250241), we get a palindrome (794493394497).

The spelling of 142052144256 in words is "one hundred forty-two billion, fifty-two million, one hundred forty-four thousand, two hundred fifty-six".