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134142240 = 2535172967
BaseRepresentation
bin1111111111011…
…01100100100000
3100100102010120010
413333231210200
5233320022430
621151044520
73216122151
oct777554440
9310363503
10134142240
11697a1061
1238b10740
1321a3900b
1413b5b928
15bb9acb0
hex7fed920

134142240 has 144 divisors (see below), whose sum is σ = 449330112. Its totient is φ = 33632256.

The previous prime is 134142227. The next prime is 134142247. The reversal of 134142240 is 42241431.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (134142247) 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, 138237 + ... + 139203.

It is an arithmetic number, because the mean of its divisors is an integer number (3120348).

Almost surely, 2134142240 is an apocalyptic number.

134142240 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 134142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224665056).

134142240 is an abundant number, since it is smaller than the sum of its proper divisors (315187872).

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

134142240 is a wasteful number, since it uses less digits than its factorization.

134142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 994 counting only the distinct ones).

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

The square root of 134142240 is about 11581.9791054897. The cubic root of 134142240 is about 511.9039940432.

Adding to 134142240 its reverse (42241431), we get a palindrome (176383671).

The spelling of 134142240 in words is "one hundred thirty-four million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 289 340 408 480 510 544 578 680 816 867 967 1020 1156 1360 1445 1632 1734 1934 2040 2312 2720 2890 2901 3468 3868 4080 4335 4624 4835 5780 5802 6936 7736 8160 8670 9248 9670 11560 11604 13872 14505 15472 16439 17340 19340 23120 23208 27744 29010 30944 32878 34680 38680 46240 46416 49317 58020 65756 69360 77360 82195 92832 98634 116040 131512 138720 154720 164390 197268 232080 246585 263024 279463 328780 394536 464160 493170 526048 558926 657560 789072 838389 986340 1117852 1315120 1397315 1578144 1676778 1972680 2235704 2630240 2794630 3353556 3945360 4191945 4471408 5589260 6707112 7890720 8383890 8942816 11178520 13414224 16767780 22357040 26828448 33535560 44714080 67071120 134142240