138286160 has 40 divisors (see below), whose sum is σ = 340431336. Its totient is φ = 52060160.

The previous prime is 138286157. The next prime is 138286171. The reversal of 138286160 is 61682831.

It can be written as a sum of positive squares in 4 ways, for example, as 19998784 + 118287376 = 4472^2 + 10876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×138286160³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138286160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49481 + ... + 52200.

Almost surely, 2^138286160 is an apocalyptic number.

138286160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138286160 is an abundant number, since it is smaller than the sum of its proper divisors (202145176).

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

138286160 is a wasteful number, since it uses less digits than its factorization.

138286160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101711 (or 101705 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 138286160 is about 11759.5135953831. The cubic root of 138286160 is about 517.1218705372.

The spelling of 138286160 in words is "one hundred thirty-eight million, two hundred eighty-six thousand, one hundred sixty".