13552146 has 48 divisors (see below), whose sum is σ = 30700800. Its totient is φ = 4315680.

The previous prime is 13552141. The next prime is 13552151. The reversal of 13552146 is 64125531.

13552146 is a `hidden beast` number, since 135 + 521 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (13552141) and next prime (13552151).

It is a super-2 number, since 2×13552146² = 367321322410632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13552141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83061 + ... + 83223.

It is an arithmetic number, because the mean of its divisors is an integer number (639600).

Almost surely, 2^13552146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13552146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350400).

13552146 is an abundant number, since it is smaller than the sum of its proper divisors (17148654).

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

13552146 is a wasteful number, since it uses less digits than its factorization.

13552146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 348 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 13552146 is about 3681.3239466257. The cubic root of 13552146 is about 238.4163439578.

Adding to 13552146 its reverse (64125531), we get a palindrome (77677677).

The spelling of 13552146 in words is "thirteen million, five hundred fifty-two thousand, one hundred forty-six".