138406092 has 72 divisors (see below), whose sum is σ = 357504000. Its totient is φ = 41643360.

The previous prime is 138406091. The next prime is 138406123. The reversal of 138406092 is 290604831.

138406092 is nontrivially palindromic in base 15.

138406092 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (138406091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288709 + ... + 289187.

Almost surely, 2^138406092 is an apocalyptic number.

138406092 is a gapful number since it is divisible by the number (12) 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 138406092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178752000).

138406092 is an abundant number, since it is smaller than the sum of its proper divisors (219097908).

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

138406092 is a wasteful number, since it uses less digits than its factorization.

138406092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 138406092 is about 11764.6118508007. The cubic root of 138406092 is about 517.2713228023.

The spelling of 138406092 in words is "one hundred thirty-eight million, four hundred six thousand, ninety-two".