7135742871000 has 1344 divisors, whose sum is σ = 26411457309120. Its totient is φ = 1803310387200.

The previous prime is 7135742870987. The next prime is 7135742871013. The reversal of 7135742871000 is 1782475317.

7135742871000 is a `hidden beast` number, since 7 + 1 + 3 + 574 + 2 + 8 + 71 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7135742870987) and next prime (7135742871013).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 63148166944 + ... + 63148167056.

Almost surely, 2^{7135742871000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7135742871000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13205728654560).

7135742871000 is an abundant number, since it is smaller than the sum of its proper divisors (19275714438120).

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

7135742871000 is a wasteful number, since it uses less digits than its factorization.

7135742871000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 7135742871000 in words is "seven trillion, one hundred thirty-five billion, seven hundred forty-two million, eight hundred seventy-one thousand".