138111480 has 192 divisors, whose sum is σ = 501752160. Its totient is φ = 33965568.

The previous prime is 138111473. The next prime is 138111497. The reversal of 138111480 is 84111831.

It is a super-3 number, since 3×138111480³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 125814 + ... + 126906.

Almost surely, 2^138111480 is an apocalyptic number.

138111480 is a gapful number since it is divisible by the number (10) 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 138111480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250876080).

138111480 is an abundant number, since it is smaller than the sum of its proper divisors (363640680).

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

138111480 is a wasteful number, since it uses less digits than its factorization.

138111480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 138111480 is about 11752.0840704958. The cubic root of 138111480 is about 516.9040398454.

The spelling of 138111480 in words is "one hundred thirty-eight million, one hundred eleven thousand, four hundred eighty".