138454627847040 has 1024 divisors, whose sum is σ = 518740443648000. Its totient is φ = 34804231372800.

The previous prime is 138454627847027. The next prime is 138454627847047. The reversal of 138454627847040 is 40748726454831.

It is a happy number.

138454627847040 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 54 + 6 + 2 + 78 + 470 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138454627847047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64668204370 + ... + 64668206510.

It is an arithmetic number, because the mean of its divisors is an integer number (506582464500).

Almost surely, 2^{138454627847040} is an apocalyptic number.

138454627847040 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 138454627847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259370221824000).

138454627847040 is an abundant number, since it is smaller than the sum of its proper divisors (380285815800960).

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

138454627847040 is a wasteful number, since it uses less digits than its factorization.

138454627847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 138454627847040 in words is "one hundred thirty-eight trillion, four hundred fifty-four billion, six hundred twenty-seven million, eight hundred forty-seven thousand, forty".