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136936656 = 2434157673
BaseRepresentation
bin10000010100101…
…11110011010000
3100112200002210000
420022113303100
5240023433111
621331010000
73251641143
oct1012276320
9315602700
10136936656
117032a59a
1239a39900
13224a6c0c
141428805a
15c04dc56
hex8297cd0

136936656 has 100 divisors (see below), whose sum is σ = 399451492. Its totient is φ = 45287424.

The previous prime is 136936609. The next prime is 136936669. The reversal of 136936656 is 656639631.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 94478400 = 6516^2 + 9720^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203136 + ... + 203808.

Almost surely, 2136936656 is an apocalyptic number.

136936656 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 136936656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199725746).

136936656 is an abundant number, since it is smaller than the sum of its proper divisors (262514836).

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

136936656 is a wasteful number, since it uses less digits than its factorization.

136936656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 835 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 136936656 is about 11701.9936762929. The cubic root of 136936656 is about 515.4342094789.

It can be divided in two parts, 1369 and 36656, that added together give a square (38025 = 1952).

The spelling of 136936656 in words is "one hundred thirty-six million, nine hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 157 162 216 314 324 432 471 628 648 673 942 1256 1296 1346 1413 1884 2019 2512 2692 2826 3768 4038 4239 5384 5652 6057 7536 8076 8478 10768 11304 12114 12717 16152 16956 18171 22608 24228 25434 32304 33912 36342 48456 50868 54513 67824 72684 96912 101736 105661 109026 145368 203472 211322 218052 290736 316983 422644 436104 633966 845288 872208 950949 1267932 1690576 1901898 2535864 2852847 3803796 5071728 5705694 7607592 8558541 11411388 15215184 17117082 22822776 34234164 45645552 68468328 136936656