14542164 has 144 divisors (see below), whose sum is σ = 47453952. Its totient is φ = 3649536.

The previous prime is 14542159. The next prime is 14542169. The reversal of 14542164 is 46124541.

It is an interprime number because it is at equal distance from previous prime (14542159) and next prime (14542169).

It is a super-2 number, since 2×14542164² = 422949067605792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14542169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75252 + ... + 75444.

Almost surely, 2^14542164 is an apocalyptic number.

14542164 is a gapful number since it is divisible by the number (14) 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 14542164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23726976).

14542164 is an abundant number, since it is smaller than the sum of its proper divisors (32911788).

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

14542164 is a wasteful number, since it uses less digits than its factorization.

14542164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 14542164 is about 3813.4189384331. The cubic root of 14542164 is about 244.0860799931.

It can be divided in two parts, 14542 and 164, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 14542164 in words is "fourteen million, five hundred forty-two thousand, one hundred sixty-four".