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134980 = 22517397
BaseRepresentation
bin100000111101000100
320212011021
4200331010
513304410
62520524
71101346
oct407504
9225137
10134980
119245a
1266144
1349591
1437296
1529eda
hex20f44

134980 has 24 divisors (see below), whose sum is σ = 300888. Its totient is φ = 50688.

The previous prime is 134951. The next prime is 134989. The reversal of 134980 is 89431.

It can be written as a sum of positive squares in 4 ways, for example, as 37636 + 97344 = 194^2 + 312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134989) by changing a digit.

134980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142 + ... + 538.

It is an arithmetic number, because the mean of its divisors is an integer number (12537).

2134980 is an apocalyptic number.

134980 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 134980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150444).

134980 is an abundant number, since it is smaller than the sum of its proper divisors (165908).

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

134980 is a wasteful number, since it uses less digits than its factorization.

134980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 134980 is about 367.3962438567. The cubic root of 134980 is about 51.2967449775.

The spelling of 134980 in words is "one hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 397 794 1588 1985 3970 6749 7940 13498 26996 33745 67490 134980