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136239048 = 233211312179
BaseRepresentation
bin10000001111011…
…01011111001000
3100111100122211200
420013231133020
5234334122143
621304024200
73243004251
oct1007553710
9314318750
10136239048
116a9a3460
1239762060
13222c152a
1414145b28
15be621d3
hex81ed7c8

136239048 has 144 divisors (see below), whose sum is σ = 418251600. Its totient is φ = 39729600.

The previous prime is 136239029. The next prime is 136239067. The reversal of 136239048 is 840932631.

136239048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136239029) and next prime (136239067).

It is a super-2 number, since 2×1362390482 = 37122156399892608, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761023 + ... + 761201.

It is an arithmetic number, because the mean of its divisors is an integer number (2904525).

Almost surely, 2136239048 is an apocalyptic number.

136239048 is a gapful number since it is divisible by the number (18) 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 136239048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209125800).

136239048 is an abundant number, since it is smaller than the sum of its proper divisors (282012552).

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

136239048 is a wasteful number, since it uses less digits than its factorization.

136239048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 136239048 is about 11672.1483883645. The cubic root of 136239048 is about 514.5574455545.

The spelling of 136239048 in words is "one hundred thirty-six million, two hundred thirty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 179 186 198 248 264 279 341 358 372 396 537 558 682 716 744 792 961 1023 1074 1116 1364 1432 1611 1922 1969 2046 2148 2232 2728 2883 3069 3222 3844 3938 4092 4296 5549 5766 5907 6138 6444 7688 7876 8184 8649 10571 11098 11532 11814 12276 12888 15752 16647 17298 17721 21142 22196 23064 23628 24552 31713 33294 34596 35442 42284 44392 47256 49941 61039 63426 66588 69192 70884 84568 95139 99882 122078 126852 133176 141768 172019 183117 190278 199764 244156 253704 344038 366234 380556 399528 488312 516057 549351 688076 732468 761112 1032114 1098702 1376152 1464936 1548171 1892209 2064228 2197404 3096342 3784418 4128456 4394808 5676627 6192684 7568836 11353254 12385368 15137672 17029881 22706508 34059762 45413016 68119524 136239048