271242107136 has 1152 divisors, whose sum is σ = 1087865856000. Its totient is φ = 64377815040.

The previous prime is 271242107107. The next prime is 271242107197. The reversal of 271242107136 is 631701242172.

271242107136 is a `hidden beast` number, since 271 + 242 + 10 + 7 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 271242107136.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1363025565 + ... + 1363025763.

It is an arithmetic number, because the mean of its divisors is an integer number (944328000).

Almost surely, 2^271242107136 is an apocalyptic number.

271242107136 is a gapful number since it is divisible by the number (26) 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 271242107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543932928000).

271242107136 is an abundant number, since it is smaller than the sum of its proper divisors (816623748864).

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

271242107136 is a wasteful number, since it uses less digits than its factorization.

271242107136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 271242107136 in words is "two hundred seventy-one billion, two hundred forty-two million, one hundred seven thousand, one hundred thirty-six".