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134252210688 = 2931779151431
BaseRepresentation
bin111110100001000001…
…1100010101000000000
3110211112021012221002120
41331002003202220000
54144422031220223
6141401414444240
712461615651031
oct1750203425000
9424467187076
10134252210688
1151a32966a42
1222028963680
13c876b30c2b
1466d8112a88
15375b307be3
hex1f420e2a00

134252210688 has 320 divisors, whose sum is σ = 386923806720. Its totient is φ = 41213952000.

The previous prime is 134252210669. The next prime is 134252210707. The reversal of 134252210688 is 886012252431.

It is an interprime number because it is at equal distance from previous prime (134252210669) and next prime (134252210707).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311489833 + ... + 311490263.

It is an arithmetic number, because the mean of its divisors is an integer number (1209136896).

Almost surely, 2134252210688 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 134252210688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193461903360).

134252210688 is an abundant number, since it is smaller than the sum of its proper divisors (252671596032).

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

134252210688 is a wasteful number, since it uses less digits than its factorization.

134252210688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 134252210688 in words is "one hundred thirty-four billion, two hundred fifty-two million, two hundred ten thousand, six hundred eighty-eight".