138430218240 has 896 divisors, whose sum is σ = 532925377200. Its totient is φ = 34398535680.

The previous prime is 138430218217. The next prime is 138430218317. The reversal of 138430218240 is 42812034831.

It is a happy number.

138430218240 is a `hidden beast` number, since 1 + 3 + 8 + 430 + 2 + 182 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 138430218195 and 138430218204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2269347810 + ... + 2269347870.

Almost surely, 2^138430218240 is an apocalyptic number.

138430218240 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 138430218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266462688600).

138430218240 is an abundant number, since it is smaller than the sum of its proper divisors (394495158960).

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

138430218240 is an frugal number, since it uses more digits than its factorization.

138430218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 138430218240 in words is "one hundred thirty-eight billion, four hundred thirty million, two hundred eighteen thousand, two hundred forty".