67142124 has 144 divisors (see below), whose sum is σ = 210246400. Its totient is φ = 17635968.

The previous prime is 67142081. The next prime is 67142137. The reversal of 67142124 is 42124176.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176967 + ... + 177345.

Almost surely, 2^67142124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67142124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105123200).

67142124 is an abundant number, since it is smaller than the sum of its proper divisors (143104276).

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

67142124 is a wasteful number, since it uses less digits than its factorization.

67142124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 447 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 67142124 is about 8194.0297778322. The cubic root of 67142124 is about 406.4417930210.

The spelling of 67142124 in words is "sixty-seven million, one hundred forty-two thousand, one hundred twenty-four".