138757104 has 80 divisors (see below), whose sum is σ = 409095840. Its totient is φ = 44997120.

The previous prime is 138757103. The next prime is 138757117. The reversal of 138757104 is 401757831.

138757104 = T₃₆₇ + T₃₆₈ + ... + T₉₅₈.

138757104 is a `hidden beast` number, since 1 + 3 + 87 + 571 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138757103) 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 15 ways as a sum of consecutive naturals, for example, 11644 + ... + 20324.

It is an arithmetic number, because the mean of its divisors is an integer number (5113698).

Almost surely, 2^138757104 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 138757104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204547920).

138757104 is an abundant number, since it is smaller than the sum of its proper divisors (270338736).

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

138757104 is a wasteful number, since it uses less digits than its factorization.

138757104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 138757104 is about 11779.5205335362. The cubic root of 138757104 is about 517.7082379766.

The spelling of 138757104 in words is "one hundred thirty-eight million, seven hundred fifty-seven thousand, one hundred four".