138414694340 has 216 divisors, whose sum is σ = 333130178304. Its totient is φ = 48259411200.

The previous prime is 138414694339. The next prime is 138414694351. The reversal of 138414694340 is 43496414831.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139671245 + ... + 139672235.

It is an arithmetic number, because the mean of its divisors is an integer number (1542269344).

Almost surely, 2^138414694340 is an apocalyptic number.

138414694340 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 138414694340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166565089152).

138414694340 is an abundant number, since it is smaller than the sum of its proper divisors (194715483964).

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

138414694340 is a wasteful number, since it uses less digits than its factorization.

138414694340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 47.

The spelling of 138414694340 in words is "one hundred thirty-eight billion, four hundred fourteen million, six hundred ninety-four thousand, three hundred forty".