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136018656 = 2533157429
BaseRepresentation
bin10000001101101…
…11101011100000
3100110221110112000
420012313223200
5234310044111
621255204000
73241065564
oct1006675340
9313843460
10136018656
116a862914
1239676600
1322245117
14140c96a4
15be1bc56
hex81b7ae0

136018656 has 48 divisors (see below), whose sum is σ = 396723600. Its totient is φ = 45339264.

The previous prime is 136018639. The next prime is 136018667. The reversal of 136018656 is 656810631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1360186563 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 136018656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77851 + ... + 79578.

It is an arithmetic number, because the mean of its divisors is an integer number (8265075).

Almost surely, 2136018656 is an apocalyptic number.

136018656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136018656 is an abundant number, since it is smaller than the sum of its proper divisors (260704944).

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

136018656 is a wasteful number, since it uses less digits than its factorization.

136018656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157448 (or 157434 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 136018656 is about 11662.7036316628. The cubic root of 136018656 is about 514.2798316787.

The spelling of 136018656 in words is "one hundred thirty-six million, eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 157429 314858 472287 629716 944574 1259432 1416861 1889148 2518864 2833722 3778296 4250583 5037728 5667444 7556592 8501166 11334888 15113184 17002332 22669776 34004664 45339552 68009328 136018656