160138368 has 288 divisors, whose sum is σ = 541419060. Its totient is φ = 45121536.

The previous prime is 160138361. The next prime is 160138373. The reversal of 160138368 is 863831061.

160138368 is a `hidden beast` number, since 160 + 138 + 368 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 128867904 + 31270464 = 11352^2 + 5592^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (160138361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4328046 + ... + 4328082.

Almost surely, 2^160138368 is an apocalyptic number.

160138368 is a gapful number since it is divisible by the number (18) 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 160138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270709530).

160138368 is an abundant number, since it is smaller than the sum of its proper divisors (381280692).

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

160138368 is a wasteful number, since it uses less digits than its factorization.

160138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

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

The square root of 160138368 is about 12654.5789341250. The cubic root of 160138368 is about 543.0399734519.

The spelling of 160138368 in words is "one hundred sixty million, one hundred thirty-eight thousand, three hundred sixty-eight".