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136907056 = 241113531129
BaseRepresentation
bin10000010100100…
…00100100110000
3100112121121011201
420022100210300
5240022011211
621330220544
73251455636
oct1012204460
9315547151
10136907056
117030a330
1239a24754
13224965c0
141427b356
15c0450c1
hex8290930

136907056 has 80 divisors (see below), whose sum is σ = 317792160. Its totient is φ = 56309760.

The previous prime is 136907051. The next prime is 136907093. The reversal of 136907056 is 650709631.

It is not an unprimeable number, because it can be changed into a prime (136907051) 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, 120700 + ... + 121828.

It is an arithmetic number, because the mean of its divisors is an integer number (3972402).

Almost surely, 2136907056 is an apocalyptic number.

136907056 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 136907056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158896080).

136907056 is an abundant number, since it is smaller than the sum of its proper divisors (180885104).

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

136907056 is a wasteful number, since it uses less digits than its factorization.

136907056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 136907056 is about 11700.7288661861. The cubic root of 136907056 is about 515.3970683353.

The spelling of 136907056 in words is "one hundred thirty-six million, nine hundred seven thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 53 88 104 106 143 176 208 212 286 424 572 583 689 848 1129 1144 1166 1378 2258 2288 2332 2756 4516 4664 5512 7579 9032 9328 11024 12419 14677 15158 18064 24838 29354 30316 49676 58708 59837 60632 99352 117416 119674 121264 161447 198704 234832 239348 322894 478696 645788 658207 777881 957392 1291576 1316414 1555762 2583152 2632828 3111524 5265656 6223048 8556691 10531312 12446096 17113382 34226764 68453528 136907056