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136257120 = 2533531541
BaseRepresentation
bin10000001111100…
…01111001100000
3100111101120122000
420013301321200
5234340211440
621304244000
73243111036
oct1007617140
9314346560
10136257120
116aa05a9a
1239770600
13222c981c
141414c556
15be67730
hex81f1e60

136257120 has 96 divisors (see below), whose sum is σ = 476915040. Its totient is φ = 36334080.

The previous prime is 136257119. The next prime is 136257133. The reversal of 136257120 is 21752631.

It is a happy number.

136257120 is a `hidden beast` number, since 13 + 62 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11451 + ... + 20090.

It is an arithmetic number, because the mean of its divisors is an integer number (4967865).

Almost surely, 2136257120 is an apocalyptic number.

136257120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136257120 is an abundant number, since it is smaller than the sum of its proper divisors (340657920).

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

136257120 is a wasteful number, since it uses less digits than its factorization.

136257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31565 (or 31551 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 136257120 is about 11672.9225132355. The cubic root of 136257120 is about 514.5801964255.

The spelling of 136257120 in words is "one hundred thirty-six million, two hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 31541 63082 94623 126164 157705 189246 252328 283869 315410 378492 473115 504656 567738 630820 756984 851607 946230 1009312 1135476 1261640 1419345 1513968 1703214 1892460 2270952 2523280 2838690 3027936 3406428 3784920 4258035 4541904 5046560 5677380 6812856 7569840 8516070 9083808 11354760 13625712 15139680 17032140 22709520 27251424 34064280 45419040 68128560 136257120