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134338960 = 2457415851
BaseRepresentation
bin10000000000111…
…01100110010000
3100100210010102001
420000131212100
5233342321320
621155203344
73220601530
oct1000354620
9310703361
10134338960
1169915938
1238ba6554
1321aa7712
1413bad4c0
15bbd920a
hex801d990

134338960 has 80 divisors (see below), whose sum is σ = 365726592. Its totient is φ = 44928000.

The previous prime is 134338951. The next prime is 134338961. The reversal of 134338960 is 69833431.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (134338961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20035 + ... + 25885.

Almost surely, 2134338960 is an apocalyptic number.

134338960 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 134338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182863296).

134338960 is an abundant number, since it is smaller than the sum of its proper divisors (231387632).

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

134338960 is a wasteful number, since it uses less digits than its factorization.

134338960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 134338960 is about 11590.4684978650. The cubic root of 134338960 is about 512.1541080696.

The spelling of 134338960 in words is "one hundred thirty-four million, three hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 5851 11480 11702 22960 23404 29255 40957 46808 58510 81914 93616 117020 163828 204785 234040 239891 327656 409570 468080 479782 655312 819140 959564 1199455 1638280 1679237 1919128 2398910 3276560 3358474 3838256 4797820 6716948 8396185 9595640 13433896 16792370 19191280 26867792 33584740 67169480 134338960