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134608416 = 2537917749
BaseRepresentation
bin10000000010111…
…11011000100000
3100101021211000220
420001133120200
5233424432131
621205043040
73223103235
oct1001373040
9311254026
10134608416
1169a8a328
12390b6480
1321b70267
1413c3d78c
15bc3de96
hex805f620

134608416 has 48 divisors (see below), whose sum is σ = 357840000. Its totient is φ = 44299008.

The previous prime is 134608399. The next prime is 134608421. The reversal of 134608416 is 614806431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1291 + ... + 16458.

It is an arithmetic number, because the mean of its divisors is an integer number (7455000).

Almost surely, 2134608416 is an apocalyptic number.

134608416 is a gapful number since it is divisible by the number (16) 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 134608416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178920000).

134608416 is an abundant number, since it is smaller than the sum of its proper divisors (223231584).

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

134608416 is a wasteful number, since it uses less digits than its factorization.

134608416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17841 (or 17833 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 134608416 is about 11602.0867088641. The cubic root of 134608416 is about 512.4963042367.

The spelling of 134608416 in words is "one hundred thirty-four million, six hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 17749 35498 53247 70996 106494 141992 212988 283984 425976 567968 851952 1402171 1703904 2804342 4206513 5608684 8413026 11217368 16826052 22434736 33652104 44869472 67304208 134608416