138141696 has 224 divisors, whose sum is σ = 465539328. Its totient is φ = 35389440.

The previous prime is 138141629. The next prime is 138141701. The reversal of 138141696 is 696141831.

138141696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

Its product of digits (31104) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1892316 + ... + 1892388.

Almost surely, 2^138141696 is an apocalyptic number.

138141696 is a gapful number since it is divisible by the number (16) 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 138141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232769664).

138141696 is an abundant number, since it is smaller than the sum of its proper divisors (327397632).

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

138141696 is an equidigital number, since it uses as much as digits as its factorization.

138141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 138141696 is about 11753.3695594072. The cubic root of 138141696 is about 516.9417331484.

The spelling of 138141696 in words is "one hundred thirty-eight million, one hundred forty-one thousand, six hundred ninety-six".