66042152 has 64 divisors (see below), whose sum is σ = 142940160. Its totient is φ = 28324800.

The previous prime is 66042139. The next prime is 66042167. The reversal of 66042152 is 25124066.

66042152 is nontrivially palindromic in base 14.

It is a super-2 number, since 2×66042152² = 8723131681582208, which contains 22 as substring.

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, 117023 + ... + 117585.

It is an arithmetic number, because the mean of its divisors is an integer number (2233440).

Almost surely, 2^66042152 is an apocalyptic number.

66042152 is a gapful number since it is divisible by the number (62) 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 66042152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71470080).

66042152 is an abundant number, since it is smaller than the sum of its proper divisors (76898008).

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

66042152 is a wasteful number, since it uses less digits than its factorization.

66042152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 66042152 is about 8126.6322668126. The cubic root of 66042152 is about 404.2100172629.

The spelling of 66042152 in words is "sixty-six million, forty-two thousand, one hundred fifty-two".