142614197353152 has 1344 divisors, whose sum is σ = 534510723712000. Its totient is φ = 36415902302208.

The previous prime is 142614197353151. The next prime is 142614197353189. The reversal of 142614197353152 is 251353791416241.

142614197353152 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 1 + 419 + 73 + 5 + 3 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (142614197353151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8875105374 + ... + 8875121442.

Almost surely, 2^{142614197353152} is an apocalyptic number.

142614197353152 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 142614197353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267255361856000).

142614197353152 is an abundant number, since it is smaller than the sum of its proper divisors (391896526358848).

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

142614197353152 is a wasteful number, since it uses less digits than its factorization.

142614197353152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16235 (or 16196 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 142614197353152 in words is "one hundred forty-two trillion, six hundred fourteen billion, one hundred ninety-seven million, three hundred fifty-three thousand, one hundred fifty-two".