64142133124146 has 128 divisors (see below), whose sum is σ = 166922119360512. Its totient is φ = 15933123360000.

The previous prime is 64142133124093. The next prime is 64142133124193.

64142133124146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64142133124146² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 64142133124098 and 64142133124107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60049416 + ... + 61108236.

It is an arithmetic number, because the mean of its divisors is an integer number (1304079057504).

Almost surely, 2^{64142133124146} is an apocalyptic number.

64142133124146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64142133124146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83461059680256).

64142133124146 is an abundant number, since it is smaller than the sum of its proper divisors (102779986236366).

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

64142133124146 is a wasteful number, since it uses less digits than its factorization.

64142133124146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064568.

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 6414213 and 3124146, that added together give a palindrome (9538359).

The spelling of 64142133124146 in words is "sixty-four trillion, one hundred forty-two billion, one hundred thirty-three million, one hundred twenty-four thousand, one hundred forty-six".