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135649740 = 223519257463
BaseRepresentation
bin10000001010111…
…01100111001100
3100110020201110110
420011131213030
5234211242430
621243240020
73235001202
oct1005354714
9313221413
10135649740
116a630726
1239519010
1322146225
1414031072
15bd977b0
hex815d9cc

135649740 has 96 divisors (see below), whose sum is σ = 402232320. Its totient is φ = 34062336.

The previous prime is 135649729. The next prime is 135649763. The reversal of 135649740 is 47946531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292749 + ... + 293211.

It is an arithmetic number, because the mean of its divisors is an integer number (4189920).

Almost surely, 2135649740 is an apocalyptic number.

135649740 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 135649740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201116160).

135649740 is an abundant number, since it is smaller than the sum of its proper divisors (266582580).

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

135649740 is a wasteful number, since it uses less digits than its factorization.

135649740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 135649740 is about 11646.8768345853. The cubic root of 135649740 is about 513.8144596217.

The spelling of 135649740 in words is "one hundred thirty-five million, six hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 257 285 380 463 514 570 771 926 1028 1140 1285 1389 1542 1852 2315 2570 2778 3084 3855 4630 4883 5140 5556 6945 7710 8797 9260 9766 13890 14649 15420 17594 19532 24415 26391 27780 29298 35188 43985 48830 52782 58596 73245 87970 97660 105564 118991 131955 146490 175940 237982 263910 292980 356973 475964 527820 594955 713946 1189910 1427892 1784865 2260829 2379820 3569730 4521658 6782487 7139460 9043316 11304145 13564974 22608290 27129948 33912435 45216580 67824870 135649740