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136325840 = 2457283419
BaseRepresentation
bin10000010000000…
…10101011010000
3100111112001220012
420020002223100
5234344411330
621305534052
73243515300
oct1010025320
9314461805
10136325840
116aa52692
12397a4328
1322321ba1
1414169600
15be7cc95
hex8202ad0

136325840 has 120 divisors (see below), whose sum is σ = 374038560. Its totient is φ = 46066944.

The previous prime is 136325831. The next prime is 136325843. The reversal of 136325840 is 48523631.

It is a junction number, because it is equal to n+sod(n) for n = 136325797 and 136325806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136325843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325151 + ... + 325569.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2136325840 is an apocalyptic number.

136325840 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 136325840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

136325840 is an abundant number, since it is smaller than the sum of its proper divisors (237712720).

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

136325840 is a wasteful number, since it uses less digits than its factorization.

136325840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 136325840 is about 11675.8657066618. The cubic root of 136325840 is about 514.6666897844. Note that the first 4 decimals are identical.

The spelling of 136325840 in words is "one hundred thirty-six million, three hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 83 98 112 140 166 196 245 280 332 392 415 419 490 560 581 664 784 830 838 980 1162 1328 1660 1676 1960 2095 2324 2905 2933 3320 3352 3920 4067 4190 4648 5810 5866 6640 6704 8134 8380 9296 11620 11732 14665 16268 16760 20335 20531 23240 23464 29330 32536 33520 34777 40670 41062 46480 46928 58660 65072 69554 81340 82124 102655 117320 139108 162680 164248 173885 205310 234640 243439 278216 325360 328496 347770 410620 486878 556432 695540 821240 973756 1217195 1391080 1642480 1704073 1947512 2434390 2782160 3408146 3895024 4868780 6816292 8520365 9737560 13632584 17040730 19475120 27265168 34081460 68162920 136325840