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134140440 = 2335733259
BaseRepresentation
bin1111111111011…
…01001000011000
3100100102001002110
413333231020120
5233314443230
621151032320
73216114000
oct777551030
9310361073
10134140440
116979a775
1238b0b6a0
1321a38255
1413b5b000
15bb9a4b0
hex7fed218

134140440 has 128 divisors (see below), whose sum is σ = 469440000. Its totient is φ = 30651264.

The previous prime is 134140417. The next prime is 134140451. The reversal of 134140440 is 44041431.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39531 + ... + 42789.

It is an arithmetic number, because the mean of its divisors is an integer number (3667500).

Almost surely, 2134140440 is an apocalyptic number.

134140440 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 134140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234720000).

134140440 is an abundant number, since it is smaller than the sum of its proper divisors (335299560).

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

134140440 is a wasteful number, since it uses less digits than its factorization.

134140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 134140440 is about 11581.9013983024. The cubic root of 134140440 is about 511.9017043560.

Adding to 134140440 its reverse (44041431), we get a palindrome (178181871).

Subtracting from 134140440 its reverse (44041431), we obtain a palindrome (90099009).

The spelling of 134140440 in words is "one hundred thirty-four million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3259 3430 4116 5145 5880 6518 6860 8232 9777 10290 13036 13720 16295 19554 20580 22813 26072 32590 39108 41160 45626 48885 65180 68439 78216 91252 97770 114065 130360 136878 159691 182504 195540 228130 273756 319382 342195 391080 456260 479073 547512 638764 684390 798455 912520 958146 1117837 1277528 1368780 1596910 1916292 2235674 2395365 2737560 3193820 3353511 3832584 4471348 4790730 5589185 6387640 6707022 8942696 9581460 11178370 13414044 16767555 19162920 22356740 26828088 33535110 44713480 67070220 134140440