16138368 has 48 divisors (see below), whose sum is σ = 46443150. Its totient is φ = 5379072.

The previous prime is 16138363. The next prime is 16138393. The reversal of 16138368 is 86383161.

16138368 is a `hidden beast` number, since 1 + 613 + 8 + 36 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 4359744 = 3432^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16138361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5853 + ... + 8156.

Almost surely, 2^16138368 is an apocalyptic number.

16138368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16138368 is an abundant number, since it is smaller than the sum of its proper divisors (30304782).

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

16138368 is a wasteful number, since it uses less digits than its factorization.

16138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14029 (or 14014 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 16138368 is about 4017.2587668708. The cubic root of 16138368 is about 252.7085125340.

It can be divided in two parts, 16 and 138368, that added together give a square (138384 = 372²).

The spelling of 16138368 in words is "sixteen million, one hundred thirty-eight thousand, three hundred sixty-eight".