142438786560 has 1920 divisors, whose sum is σ = 647135723520. Its totient is φ = 28203614208.

The previous prime is 142438786549. The next prime is 142438786621. The reversal of 142438786560 is 65687834241.

It is a happy number.

142438786560 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 3 + 8 + 78 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a junction number, because it is equal to n+sod(n) for n = 142438786497 and 142438786506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3030612457 + ... + 3030612503.

It is an arithmetic number, because the mean of its divisors is an integer number (337049856).

Almost surely, 2^142438786560 is an apocalyptic number.

142438786560 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 142438786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323567861760).

142438786560 is an abundant number, since it is smaller than the sum of its proper divisors (504696936960).

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

142438786560 is a wasteful number, since it uses less digits than its factorization.

142438786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

It can be divided in two parts, 1424 and 38786560, that added together give a square (38787984 = 6228²).

The spelling of 142438786560 in words is "one hundred forty-two billion, four hundred thirty-eight million, seven hundred eighty-six thousand, five hundred sixty".