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136112004 = 22327373151
BaseRepresentation
bin10000001110011…
…10011110000100
3100111010012120100
420013032132010
5234321041004
621301204100
73241635000
oct1007163604
9314105510
10136112004
116a916a66
1239700630
1322278762
1414111700
15be39739
hex81ce784

136112004 has 144 divisors (see below), whose sum is σ = 409427200. Its totient is φ = 38102400.

The previous prime is 136111981. The next prime is 136112017. The reversal of 136112004 is 400211631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901329 + ... + 901479.

Almost surely, 2136112004 is an apocalyptic number.

136112004 is a gapful number since it is divisible by the number (14) 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 136112004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204713600).

136112004 is an abundant number, since it is smaller than the sum of its proper divisors (273315196).

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

136112004 is a wasteful number, since it uses less digits than its factorization.

136112004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 136112004 is about 11666.7049332706. The cubic root of 136112004 is about 514.3974528373.

Adding to 136112004 its reverse (400211631), we get a palindrome (536323635).

The spelling of 136112004 in words is "one hundred thirty-six million, one hundred twelve thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 73 84 98 126 146 147 151 196 219 252 292 294 302 343 438 441 453 511 588 604 657 686 876 882 906 1022 1029 1057 1314 1359 1372 1533 1764 1812 2044 2058 2114 2628 2718 3066 3087 3171 3577 4116 4228 4599 5436 6132 6174 6342 7154 7399 9198 9513 10731 11023 12348 12684 14308 14798 18396 19026 21462 22046 22197 25039 29596 32193 33069 38052 42924 44092 44394 50078 51793 64386 66138 66591 75117 77161 88788 99207 100156 103586 128772 132276 133182 150234 154322 155379 198414 207172 225351 231483 266364 300468 308644 310758 396828 450702 462966 466137 540127 621516 694449 901404 925932 932274 1080254 1388898 1620381 1864548 2160508 2777796 3240762 3780889 4861143 6481524 7561778 9722286 11342667 15123556 19444572 22685334 34028001 45370668 68056002 136112004