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136555936 = 25112271709
BaseRepresentation
bin10000010001110…
…10110110100000
3100111221202112021
420020322312200
5234424242221
621314511224
73245464156
oct1010726640
9314852467
10136555936
117009a550
1239895514
13223a283a
14141c93d6
15bec6041
hex823ada0

136555936 has 48 divisors (see below), whose sum is σ = 294749280. Its totient is φ = 61761280.

The previous prime is 136555897. The next prime is 136555943. The reversal of 136555936 is 639555631.

It is a junction number, because it is equal to n+sod(n) for n = 136555892 and 136555901.

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 7 ways as a sum of consecutive naturals, for example, 79050 + ... + 80758.

It is an arithmetic number, because the mean of its divisors is an integer number (6140610).

Almost surely, 2136555936 is an apocalyptic number.

136555936 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 136555936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147374640).

136555936 is an abundant number, since it is smaller than the sum of its proper divisors (158193344).

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

136555936 is a wasteful number, since it uses less digits than its factorization.

136555936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1949 counting only the distinct ones).

The product of its digits is 364500, while the sum is 43.

The square root of 136555936 is about 11685.7150401676. The cubic root of 136555936 is about 514.9560851108.

It can be divided in two parts, 13655 and 5936, that added together give a palindrome (19591).

The spelling of 136555936 in words is "one hundred thirty-six million, five hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 227 352 454 908 1709 1816 2497 3418 3632 4994 6836 7264 9988 13672 18799 19976 27344 37598 39952 54688 75196 79904 150392 300784 387943 601568 775886 1551772 3103544 4267373 6207088 8534746 12414176 17069492 34138984 68277968 136555936