138233088 has 144 divisors (see below), whose sum is σ = 467340160. Its totient is φ = 39481344.

The previous prime is 138233087. The next prime is 138233093. The reversal of 138233088 is 880332831.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138233083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46956 + ... + 49812.

Almost surely, 2^138233088 is an apocalyptic number.

138233088 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 138233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233670080).

138233088 is an abundant number, since it is smaller than the sum of its proper divisors (329107072).

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

138233088 is an equidigital number, since it uses as much as digits as its factorization.

138233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 138233088 is about 11757.2568229158. The cubic root of 138233088 is about 517.0557077253.

The spelling of 138233088 in words is "one hundred thirty-eight million, two hundred thirty-three thousand, eighty-eight".