138780600 has 192 divisors, whose sum is σ = 497111040. Its totient is φ = 31372800.

The previous prime is 138780559. The next prime is 138780671. The reversal of 138780600 is 6087831.

138780600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726505 + ... + 726695.

It is an arithmetic number, because the mean of its divisors is an integer number (2589120).

Almost surely, 2^138780600 is an apocalyptic number.

138780600 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 138780600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248555520).

138780600 is an abundant number, since it is smaller than the sum of its proper divisors (358330440).

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

138780600 is a wasteful number, since it uses less digits than its factorization.

138780600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 138780600 is about 11780.5178154443. The cubic root of 138780600 is about 517.7374578288.

The spelling of 138780600 in words is "one hundred thirty-eight million, seven hundred eighty thousand, six hundred".