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136934336 = 2671137751
BaseRepresentation
bin10000010100101…
…11001111000000
3100112122222121002
420022113033000
5240023344321
621330551132
73251631320
oct1012271700
9315588532
10136934336
1170328880
1239a384a8
13224a5b46
1414287280
15c04d20b
hex82973c0

136934336 has 112 divisors (see below), whose sum is σ = 348398592. Its totient is φ = 51840000.

The previous prime is 136934323. The next prime is 136934353. The reversal of 136934336 is 633439631.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 136934336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181961 + ... + 182711.

Almost surely, 2136934336 is an apocalyptic number.

136934336 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 136934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174199296).

136934336 is an abundant number, since it is smaller than the sum of its proper divisors (211464256).

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

136934336 is a wasteful number, since it uses less digits than its factorization.

136934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its digits is 104976, while the sum is 38.

The square root of 136934336 is about 11701.8945474654. The cubic root of 136934336 is about 515.4312986096.

The spelling of 136934336 in words is "one hundred thirty-six million, nine hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 64 74 77 88 112 148 154 176 224 259 296 308 352 407 448 518 592 616 704 751 814 1036 1184 1232 1502 1628 2072 2368 2464 2849 3004 3256 4144 4928 5257 5698 6008 6512 8261 8288 10514 11396 12016 13024 16522 16576 21028 22792 24032 26048 27787 33044 42056 45584 48064 55574 57827 66088 84112 91168 111148 115654 132176 168224 182336 194509 222296 231308 264352 305657 336448 389018 444592 462616 528704 611314 778036 889184 925232 1222628 1556072 1778368 1850464 2139599 2445256 3112144 3700928 4279198 4890512 6224288 8558396 9781024 12448576 17116792 19562048 34233584 68467168 136934336