138962095272 has 1152 divisors, whose sum is σ = 549188640000. Its totient is φ = 31274449920.

The previous prime is 138962095271. The next prime is 138962095343. The reversal of 138962095272 is 272590269831.

138962095272 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 620 + 9 + 5 + 2 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (138962095271) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1274881554 + ... + 1274881662.

It is an arithmetic number, because the mean of its divisors is an integer number (476726250).

Almost surely, 2^138962095272 is an apocalyptic number.

138962095272 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 138962095272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274594320000).

138962095272 is an abundant number, since it is smaller than the sum of its proper divisors (410226544728).

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

138962095272 is a wasteful number, since it uses less digits than its factorization.

138962095272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 138962095272 in words is "one hundred thirty-eight billion, nine hundred sixty-two million, ninety-five thousand, two hundred seventy-two".