138067776 has 252 divisors, whose sum is σ = 498892576. Its totient is φ = 35735040.

The previous prime is 138067739. The next prime is 138067789. The reversal of 138067776 is 677760831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487731 + ... + 488013.

Almost surely, 2^138067776 is an apocalyptic number.

138067776 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 138067776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249446288).

138067776 is an abundant number, since it is smaller than the sum of its proper divisors (360824800).

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

138067776 is a wasteful number, since it uses less digits than its factorization.

138067776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 138067776 is about 11750.2245084934. The cubic root of 138067776 is about 516.8495110511.

The spelling of 138067776 in words is "one hundred thirty-eight million, sixty-seven thousand, seven hundred seventy-six".