138683753994240 has 4320 divisors, whose sum is σ = 638331454640880. Its totient is φ = 28694111846400.

The previous prime is 138683753994239. The next prime is 138683753994251. The reversal of 138683753994240 is 42499357386831.

It is a happy number.

138683753994240 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 8 + 3 + 7 + 539 + 9 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 418984150875 + ... + 418984151205.

It is a 1-persistent number, because it is pandigital, but 2⋅138683753994240 = 277367507988480 is not.

Almost surely, 2^{138683753994240} is an apocalyptic number.

138683753994240 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 138683753994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319165727320440).

138683753994240 is an abundant number, since it is smaller than the sum of its proper divisors (499647700646640).

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

138683753994240 is a wasteful number, since it uses less digits than its factorization.

138683753994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 138683753994240 in words is "one hundred thirty-eight trillion, six hundred eighty-three billion, seven hundred fifty-three million, nine hundred ninety-four thousand, two hundred forty".