66542148 has 72 divisors (see below), whose sum is σ = 184740192. Its totient is φ = 20870784.

The previous prime is 66542143. The next prime is 66542191. The reversal of 66542148 is 84124566.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66542143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14511 + ... + 18537.

It is an arithmetic number, because the mean of its divisors is an integer number (2565836).

Almost surely, 2^66542148 is an apocalyptic number.

66542148 is a gapful number since it is divisible by the number (68) 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 66542148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92370096).

66542148 is an abundant number, since it is smaller than the sum of its proper divisors (118198044).

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

66542148 is a wasteful number, since it uses less digits than its factorization.

66542148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4049 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 66542148 is about 8157.3370654890. The cubic root of 66542148 is about 405.2275264741.

The spelling of 66542148 in words is "sixty-six million, five hundred forty-two thousand, one hundred forty-eight".