142737593306112 has 1320 divisors, whose sum is σ = 529100032853040. Its totient is φ = 38104977899520.

The previous prime is 142737593306107. The next prime is 142737593306123. The reversal of 142737593306112 is 211603395737241.

142737593306112 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 3 + 7 + 593 + 30 + 6 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5637110412 + ... + 5637135732.

It is an arithmetic number, because the mean of its divisors is an integer number (400833358222).

Almost surely, 2^{142737593306112} is an apocalyptic number.

142737593306112 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 142737593306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264550016426520).

142737593306112 is an abundant number, since it is smaller than the sum of its proper divisors (386362439546928).

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

142737593306112 is a wasteful number, since it uses less digits than its factorization.

142737593306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25459 (or 25425 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 142737593306112 in words is "one hundred forty-two trillion, seven hundred thirty-seven billion, five hundred ninety-three million, three hundred six thousand, one hundred twelve".