138735630 has 96 divisors (see below), whose sum is σ = 402779520. Its totient is φ = 32840640.

The previous prime is 138735617. The next prime is 138735631. The reversal of 138735630 is 36537831.

138735630 is a `hidden beast` number, since 13 + 8 + 7 + 3 + 5 + 630 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138735631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40941 + ... + 44199.

It is an arithmetic number, because the mean of its divisors is an integer number (4195620).

Almost surely, 2^138735630 is an apocalyptic number.

138735630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138735630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201389760).

138735630 is an abundant number, since it is smaller than the sum of its proper divisors (264043890).

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

138735630 is a wasteful number, since it uses less digits than its factorization.

138735630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 138735630 is about 11778.6090010663. The cubic root of 138735630 is about 517.6815298179.

It can be divided in two parts, 13873 and 5630, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 138735630 in words is "one hundred thirty-eight million, seven hundred thirty-five thousand, six hundred thirty".