138316154739840 has 2304 divisors, whose sum is σ = 639236518502400. Its totient is φ = 28252872990720.

The previous prime is 138316154739827. The next prime is 138316154739877. The reversal of 138316154739840 is 48937451613831.

138316154739840 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 1 + 6 + 1 + 547 + 3 + 9 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4945677537 + ... + 4945705503.

It is an arithmetic number, because the mean of its divisors is an integer number (277446405600).

Almost surely, 2^{138316154739840} is an apocalyptic number.

138316154739840 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 138316154739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319618259251200).

138316154739840 is an abundant number, since it is smaller than the sum of its proper divisors (500920363762560).

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

138316154739840 is a wasteful number, since it uses less digits than its factorization.

138316154739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28085 (or 28054 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 138316154739840 in words is "one hundred thirty-eight trillion, three hundred sixteen billion, one hundred fifty-four million, seven hundred thirty-nine thousand, eight hundred forty".