66146124 has 48 divisors (see below), whose sum is σ = 168892416. Its totient is φ = 19982400.

The previous prime is 66146117. The next prime is 66146131. The reversal of 66146124 is 42164166.

It is an interprime number because it is at equal distance from previous prime (66146117) and next prime (66146131).

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

It is a junction number, because it is equal to n+sod(n) for n = 66146091 and 66146100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60309 + ... + 61395.

It is an arithmetic number, because the mean of its divisors is an integer number (3518592).

Almost surely, 2^66146124 is an apocalyptic number.

It is an amenable number.

66146124 is an abundant number, since it is smaller than the sum of its proper divisors (102746292).

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

66146124 is a wasteful number, since it uses less digits than its factorization.

66146124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1564 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 66146124 is about 8133.0267428553. The cubic root of 66146124 is about 404.4220257424.

The spelling of 66146124 in words is "sixty-six million, one hundred forty-six thousand, one hundred twenty-four".