13688150 has 72 divisors (see below), whose sum is σ = 30618576. Its totient is φ = 4536000.

The previous prime is 13688141. The next prime is 13688159. The reversal of 13688150 is 5188631.

It is an interprime number because it is at equal distance from previous prime (13688141) and next prime (13688159).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13688159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90575 + ... + 90725.

It is an arithmetic number, because the mean of its divisors is an integer number (425258).

Almost surely, 2^13688150 is an apocalyptic number.

13688150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13688150 is an abundant number, since it is smaller than the sum of its proper divisors (16930426).

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

13688150 is a wasteful number, since it uses less digits than its factorization.

13688150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 13688150 is about 3699.7499915535. The cubic root of 13688150 is about 239.2112416092.

The spelling of 13688150 in words is "thirteen million, six hundred eighty-eight thousand, one hundred fifty".