138541958640 has 240 divisors, whose sum is σ = 480702733056. Its totient is φ = 35721216000.

The previous prime is 138541958617. The next prime is 138541958693. The reversal of 138541958640 is 46859145831.

It is a happy number.

138541958640 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 4 + 19 + 586 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 35732382 + ... + 35736258.

Almost surely, 2^138541958640 is an apocalyptic number.

138541958640 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 138541958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240351366528).

138541958640 is an abundant number, since it is smaller than the sum of its proper divisors (342160774416).

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

138541958640 is a wasteful number, since it uses less digits than its factorization.

138541958640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 138541958640 in words is "one hundred thirty-eight billion, five hundred forty-one million, nine hundred fifty-eight thousand, six hundred forty".