138160890 has 180 divisors, whose sum is σ = 439600986. Its totient is φ = 31044384.

The previous prime is 138160889. The next prime is 138160903. The reversal of 138160890 is 98061831.

138160890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 124344801 + 13816089 = 11151^2 + 3717^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2341681 + ... + 2341739.

Almost surely, 2^138160890 is an apocalyptic number.

138160890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138160890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219800493).

138160890 is an abundant number, since it is smaller than the sum of its proper divisors (301440096).

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

138160890 is an equidigital number, since it uses as much as digits as its factorization.

138160890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 138160890 is about 11754.1860628459. The cubic root of 138160890 is about 516.9656740738.

It can be divided in two parts, 138 and 160890, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 138160890 in words is "one hundred thirty-eight million, one hundred sixty thousand, eight hundred ninety".