139205096071272 has 2304 divisors, whose sum is σ = 533653396416000. Its totient is φ = 32787139461120.

The previous prime is 139205096071259. The next prime is 139205096071319. The reversal of 139205096071272 is 272170690502931.

139205096071272 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 0 + 5 + 0 + 9 + 607 + 1 + 27 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1564102203004 + ... + 1564102203092.

It is an arithmetic number, because the mean of its divisors is an integer number (231620397750).

Almost surely, 2^{139205096071272} is an apocalyptic number.

139205096071272 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 139205096071272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266826698208000).

139205096071272 is an abundant number, since it is smaller than the sum of its proper divisors (394448300344728).

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

139205096071272 is a wasteful number, since it uses less digits than its factorization.

139205096071272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 139205096071272 in words is "one hundred thirty-nine trillion, two hundred five billion, ninety-six million, seventy-one thousand, two hundred seventy-two".