138783600 has 180 divisors, whose sum is σ = 507215800. Its totient is φ = 35043840.

The previous prime is 138783583. The next prime is 138783607. The reversal of 138783600 is 6387831.

It is a tau number, because it is divible by the number of its divisors (180).

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 (138783607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67386 + ... + 69414.

Almost surely, 2^138783600 is an apocalyptic number.

138783600 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 138783600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253607900).

138783600 is an abundant number, since it is smaller than the sum of its proper divisors (368432200).

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

138783600 is a wasteful number, since it uses less digits than its factorization.

138783600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 138783600 is about 11780.6451436244. The cubic root of 138783600 is about 517.7411884203.

The spelling of 138783600 in words is "one hundred thirty-eight million, seven hundred eighty-three thousand, six hundred".