142396876512 has 576 divisors, whose sum is σ = 492217689600. Its totient is φ = 38539100160.

The previous prime is 142396876511. The next prime is 142396876513. The reversal of 142396876512 is 215678693241.

It is a happy number.

142396876512 is a `hidden beast` number, since 1 + 42 + 3 + 9 + 6 + 87 + 6 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (142396876511) and next prime (142396876513).

It is a super-2 number, since 2×142396876512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142396876511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101061664 + ... + 101063072.

It is an arithmetic number, because the mean of its divisors is an integer number (854544600).

Almost surely, 2^142396876512 is an apocalyptic number.

142396876512 is a gapful number since it is divisible by the number (12) 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 142396876512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246108844800).

142396876512 is an abundant number, since it is smaller than the sum of its proper divisors (349820813088).

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

142396876512 is a wasteful number, since it uses less digits than its factorization.

142396876512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1540 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 142396876512 in words is "one hundred forty-two billion, three hundred ninety-six million, eight hundred seventy-six thousand, five hundred twelve".