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136845900 = 223252383397
BaseRepresentation
bin10000010100000…
…01101001001100
3100112111111021200
420022001221030
5240013032100
621325025500
73251112432
oct1012015114
9315444250
10136845900
1170278394
12399b5290
1322474809
1414262d52
15c031e00
hex8281a4c

136845900 has 108 divisors (see below), whose sum is σ = 431139072. Its totient is φ = 36305280.

The previous prime is 136845893. The next prime is 136845911. The reversal of 136845900 is 9548631.

136845900 is a `hidden beast` number, since 1 + 3 + 68 + 4 + 590 + 0 = 666.

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

It is a congruent number.

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, 344502 + ... + 344898.

Almost surely, 2136845900 is an apocalyptic number.

136845900 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 136845900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215569536).

136845900 is an abundant number, since it is smaller than the sum of its proper divisors (294293172).

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

136845900 is a wasteful number, since it uses less digits than its factorization.

136845900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 790 counting only the distinct ones).

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

The square root of 136845900 is about 11698.1152328057. The cubic root of 136845900 is about 515.3203147614.

The spelling of 136845900 in words is "one hundred thirty-six million, eight hundred forty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 383 397 450 766 794 900 1149 1191 1532 1588 1915 1985 2298 2382 3447 3573 3830 3970 4596 4764 5745 5955 6894 7146 7660 7940 9575 9925 11490 11910 13788 14292 17235 17865 19150 19850 22980 23820 28725 29775 34470 35730 38300 39700 57450 59550 68940 71460 86175 89325 114900 119100 152051 172350 178650 304102 344700 357300 456153 608204 760255 912306 1368459 1520510 1824612 2280765 2736918 3041020 3801275 4561530 5473836 6842295 7602550 9123060 11403825 13684590 15205100 22807650 27369180 34211475 45615300 68422950 136845900