138471520 has 96 divisors (see below), whose sum is σ = 369321120. Its totient is φ = 48599040.

The previous prime is 138471503. The next prime is 138471521. The reversal of 138471520 is 25174831.

138471520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138471520² = 38348723702220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138471521) 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, 49684 + ... + 52396.

It is an arithmetic number, because the mean of its divisors is an integer number (3847095).

Almost surely, 2^138471520 is an apocalyptic number.

138471520 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 138471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184660560).

138471520 is an abundant number, since it is smaller than the sum of its proper divisors (230849600).

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

138471520 is a wasteful number, since it uses less digits than its factorization.

138471520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 138471520 is about 11767.3922344757. The cubic root of 138471520 is about 517.3528189659.

The spelling of 138471520 in words is "one hundred thirty-eight million, four hundred seventy-one thousand, five hundred twenty".