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134825538540 = 2235711233251499
BaseRepresentation
bin111110110010000111…
…0100111001111101100
3110220000020001000001110
41331210032213033230
54202110314213130
6141534335112020
712512050111560
oct1754416471754
9426006030043
10134825538540
11521a7557710
1222168972610
13c93884b494
1467503156a0
153791807ab0
hex1f643a73ec

134825538540 has 384 divisors, whose sum is σ = 475517952000. Its totient is φ = 27728640000.

The previous prime is 134825538467. The next prime is 134825538553. The reversal of 134825538540 is 45835528431.

It is a self number, because there is not a number n which added to its sum of digits gives 134825538540.

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, 270191211 + ... + 270191709.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328000).

Almost surely, 2134825538540 is an apocalyptic number.

134825538540 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 134825538540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976000).

134825538540 is an abundant number, since it is smaller than the sum of its proper divisors (340692413460).

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

134825538540 is a wasteful number, since it uses less digits than its factorization.

134825538540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 134825538540 in words is "one hundred thirty-four billion, eight hundred twenty-five million, five hundred thirty-eight thousand, five hundred forty".