138063565366272 has 3520 divisors, whose sum is σ = 564690217512960. Its totient is φ = 32563947110400.

The previous prime is 138063565366261. The next prime is 138063565366301. The reversal of 138063565366272 is 272663565360831.

138063565366272 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 6 + 3 + 565 + 3 + 6 + 62 + 7 + 2 = 666.

It is a super-2 number, since 2×138063565366272² (a number of 29 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 242642469604 + ... + 242642470172.

It is an arithmetic number, because the mean of its divisors is an integer number (160423357248).

Almost surely, 2^{138063565366272} is an apocalyptic number.

138063565366272 is a gapful number since it is divisible by the number (12) 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 138063565366272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282345108756480).

138063565366272 is an abundant number, since it is smaller than the sum of its proper divisors (426626652146688).

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

138063565366272 is a wasteful number, since it uses less digits than its factorization.

138063565366272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 138063565366272 in words is "one hundred thirty-eight trillion, sixty-three billion, five hundred sixty-five million, three hundred sixty-six thousand, two hundred seventy-two".