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134257120 = 2551515557
BaseRepresentation
bin10000000000010…
…01100111100000
3100100121222010221
420000021213200
5233332211440
621153332424
73220111114
oct1000114740
9310558127
10134257120
116986a3a8
1238b67114
1321a793aa
1413b8b744
15bbbed4a
hex80099e0

134257120 has 48 divisors (see below), whose sum is σ = 319340448. Its totient is φ = 53337600.

The previous prime is 134257117. The next prime is 134257121. The reversal of 134257120 is 21752431.

It is a happy number.

134257120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134257121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21382 + ... + 26938.

It is an arithmetic number, because the mean of its divisors is an integer number (6652926).

Almost surely, 2134257120 is an apocalyptic number.

134257120 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 134257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159670224).

134257120 is an abundant number, since it is smaller than the sum of its proper divisors (185083328).

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

134257120 is a wasteful number, since it uses less digits than its factorization.

134257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 134257120 is about 11586.9374728614. The cubic root of 134257120 is about 512.0500846187.

The spelling of 134257120 in words is "one hundred thirty-four million, two hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 604 755 1208 1510 2416 3020 4832 5557 6040 11114 12080 22228 24160 27785 44456 55570 88912 111140 177824 222280 444560 839107 889120 1678214 3356428 4195535 6712856 8391070 13425712 16782140 26851424 33564280 67128560 134257120