138456090 has 96 divisors (see below), whose sum is σ = 378608256. Its totient is φ = 35038080.

The previous prime is 138456061. The next prime is 138456119. The reversal of 138456090 is 90654831.

138456090 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 560 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (138456061) and next prime (138456119).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436612 + ... + 436928.

It is an arithmetic number, because the mean of its divisors is an integer number (3943836).

Almost surely, 2^138456090 is an apocalyptic number.

138456090 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 138456090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189304128).

138456090 is an abundant number, since it is smaller than the sum of its proper divisors (240152166).

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

138456090 is a wasteful number, since it uses less digits than its factorization.

138456090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 138456090 is about 11766.7365909159. The cubic root of 138456090 is about 517.3336018962. Note that the first 3 decimals are identical.

The spelling of 138456090 in words is "one hundred thirty-eight million, four hundred fifty-six thousand, ninety".