138247781253120 has 3840 divisors, whose sum is σ = 637855195824000. Its totient is φ = 28612362240000.

The previous prime is 138247781253107. The next prime is 138247781253133. The reversal of 138247781253120 is 21352187742831.

138247781253120 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 4 + 7 + 7 + 81 + 2 + 531 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (138247781253107) and next prime (138247781253133).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×138247781253120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 550787972995 + ... + 550787973245.

Almost surely, 2^{138247781253120} is an apocalyptic number.

138247781253120 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 138247781253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318927597912000).

138247781253120 is an abundant number, since it is smaller than the sum of its proper divisors (499607414570880).

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

138247781253120 is an frugal number, since it uses more digits than its factorization.

138247781253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 138247781253120 in words is "one hundred thirty-eight trillion, two hundred forty-seven billion, seven hundred eighty-one million, two hundred fifty-three thousand, one hundred twenty".