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135087720 = 233519179331
BaseRepresentation
bin10000000110101…
…00011001101000
3100102012011111220
420003110121220
5234040301340
621223222040
73230140515
oct1003243150
9312164456
10135087720
116a287449
12392a7920
1321caa481
1413d2630c
15bcd5ed0
hex80d4668

135087720 has 128 divisors (see below), whose sum is σ = 430272000. Its totient is φ = 33834240.

The previous prime is 135087697. The next prime is 135087727. The reversal of 135087720 is 27780531.

It is not an unprimeable number, because it can be changed into a prime (135087727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407955 + ... + 408285.

It is an arithmetic number, because the mean of its divisors is an integer number (3361500).

Almost surely, 2135087720 is an apocalyptic number.

135087720 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 135087720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215136000).

135087720 is an abundant number, since it is smaller than the sum of its proper divisors (295184280).

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

135087720 is a wasteful number, since it uses less digits than its factorization.

135087720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 135087720 is about 11622.7242933832. The cubic root of 135087720 is about 513.1038703831.

The spelling of 135087720 in words is "one hundred thirty-five million, eighty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 179 190 228 285 331 358 380 456 537 570 662 716 760 895 993 1074 1140 1324 1432 1655 1790 1986 2148 2280 2648 2685 3310 3401 3580 3972 4296 4965 5370 6289 6620 6802 7160 7944 9930 10203 10740 12578 13240 13604 17005 18867 19860 20406 21480 25156 27208 31445 34010 37734 39720 40812 50312 51015 59249 62890 68020 75468 81624 94335 102030 118498 125780 136040 150936 177747 188670 204060 236996 251560 296245 355494 377340 408120 473992 592490 710988 754680 888735 1125731 1184980 1421976 1777470 2251462 2369960 3377193 3554940 4502924 5628655 6754386 7109880 9005848 11257310 13508772 16885965 22514620 27017544 33771930 45029240 67543860 135087720