134857271571840 has 1024 divisors, whose sum is σ = 509901557760000. Its totient is φ = 33586849013760.

The previous prime is 134857271571817. The next prime is 134857271571877. The reversal of 134857271571840 is 48175172758431.

134857271571840 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 57 + 2 + 7 + 1 + 571 + 8 + 4 + 0 = 666.

It is a congruent number.

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, 13380019921 + ... + 13380029999.

It is an arithmetic number, because the mean of its divisors is an integer number (497950740000).

Almost surely, 2^{134857271571840} is an apocalyptic number.

134857271571840 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 134857271571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254950778880000).

134857271571840 is an abundant number, since it is smaller than the sum of its proper divisors (375044286188160).

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

134857271571840 is a wasteful number, since it uses less digits than its factorization.

134857271571840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700 (or 10682 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 63.

The spelling of 134857271571840 in words is "one hundred thirty-four trillion, eight hundred fifty-seven billion, two hundred seventy-one million, five hundred seventy-one thousand, eight hundred forty".