138765900 has 432 divisors, whose sum is σ = 548964864. Its totient is φ = 26357760.

The previous prime is 138765881. The next prime is 138765931. The reversal of 138765900 is 9567831.

138765900 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 13.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 6033289 + ... + 6033311.

It is an arithmetic number, because the mean of its divisors is an integer number (1270752).

Almost surely, 2^138765900 is an apocalyptic number.

138765900 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 138765900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274482432).

138765900 is an abundant number, since it is smaller than the sum of its proper divisors (410198964).

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

138765900 is a wasteful number, since it uses less digits than its factorization.

138765900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 138765900 is about 11779.8938874677. The cubic root of 138765900 is about 517.7191771533.

The spelling of 138765900 in words is "one hundred thirty-eight million, seven hundred sixty-five thousand, nine hundred".