138177104 has 60 divisors (see below), whose sum is σ = 292794876. Its totient is φ = 63138816.

The previous prime is 138177089. The next prime is 138177107. The reversal of 138177104 is 401771831.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14077504 + 124099600 = 3752^2 + 11140^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138177107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370262 + ... + 370634.

Almost surely, 2^138177104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138177104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146397438).

138177104 is an abundant number, since it is smaller than the sum of its proper divisors (154617772).

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

138177104 is a wasteful number, since it uses less digits than its factorization.

138177104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 138177104 is about 11754.8757543413. The cubic root of 138177104 is about 516.9858962789.

The spelling of 138177104 in words is "one hundred thirty-eight million, one hundred seventy-seven thousand, one hundred four".