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136108416 = 273438243
BaseRepresentation
bin10000001110011…
…01100110000000
3100111010000122110
420013031212000
5234320432131
621301135320
73241621353
oct1007154600
9314100573
10136108416
116a9142a4
12396ba540
1322276c32
141411029a
15be38646
hex81cd980

136108416 has 64 divisors (see below), whose sum is σ = 369990720. Its totient is φ = 44308992.

The previous prime is 136108403. The next prime is 136108421. The reversal of 136108416 is 614801631.

It is a tau number, because it is divible by the number of its divisors (64).

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, 12391 + ... + 20633.

It is an arithmetic number, because the mean of its divisors is an integer number (5781105).

Almost surely, 2136108416 is an apocalyptic number.

136108416 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 136108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184995360).

136108416 is an abundant number, since it is smaller than the sum of its proper divisors (233882304).

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

136108416 is an equidigital number, since it uses as much as digits as its factorization.

136108416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8303 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 136108416 is about 11666.5511613330. The cubic root of 136108416 is about 514.3929328483.

The spelling of 136108416 in words is "one hundred thirty-six million, one hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 8243 8256 16486 16512 24729 32972 49458 65944 98916 131888 197832 263776 354449 395664 527552 708898 791328 1055104 1063347 1417796 1582656 2126694 2835592 3165312 4253388 5671184 8506776 11342368 17013552 22684736 34027104 45369472 68054208 136108416