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136523380 = 22573183379
BaseRepresentation
bin10000010001100…
…10111001110100
3100111220002212111
420020302321310
5234422222010
621314100404
73245300230
oct1010627164
9314802774
10136523380
1170078044
123987a704
1322390a86
14141bb5c0
15bebb58a
hex8232e74

136523380 has 96 divisors (see below), whose sum is σ = 343203840. Its totient is φ = 44634240.

The previous prime is 136523369. The next prime is 136523381. The reversal of 136523380 is 83325631.

136523380 = T96 + T97 + ... + T935.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136523381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360031 + ... + 360409.

It is an arithmetic number, because the mean of its divisors is an integer number (3575040).

Almost surely, 2136523380 is an apocalyptic number.

136523380 is a gapful number since it is divisible by the number (10) 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 136523380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

136523380 is an abundant number, since it is smaller than the sum of its proper divisors (206680460).

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

136523380 is a wasteful number, since it uses less digits than its factorization.

136523380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 136523380 is about 11684.3219743381. The cubic root of 136523380 is about 514.9151586761.

The spelling of 136523380 in words is "one hundred thirty-six million, five hundred twenty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 83 124 140 155 166 217 310 332 379 415 434 581 620 758 830 868 1085 1162 1516 1660 1895 2170 2324 2573 2653 2905 3790 4340 5146 5306 5810 7580 10292 10612 11620 11749 12865 13265 18011 23498 25730 26530 31457 36022 46996 51460 53060 58745 62914 72044 82243 90055 117490 125828 157285 164486 180110 220199 234980 314570 328972 360220 411215 440398 629140 822430 880796 975167 1100995 1644860 1950334 2201990 3900668 4403980 4875835 6826169 9751670 13652338 19503340 27304676 34130845 68261690 136523380