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135003666750 = 23533710944633
BaseRepresentation
bin111110110111011011…
…0000111100100111110
3110220110122012212000120
41331232312013210332
54202441414314000
6142004141035410
712516342143031
oct1755666074476
9426418185016
10135003666750
1152289061007
12221b8555b66
13c9667183a4
146769c43018
1537a22916a0
hex1f6ed8793e

135003666750 has 128 divisors (see below), whose sum is σ = 349259264640. Its totient is φ = 34705843200.

The previous prime is 135003666731. The next prime is 135003666761. The reversal of 135003666750 is 57666300531.

It is a happy number.

135003666750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3002434 + ... + 3047066.

It is an arithmetic number, because the mean of its divisors is an integer number (2728588005).

Almost surely, 2135003666750 is an apocalyptic number.

135003666750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135003666750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174629632320).

135003666750 is an abundant number, since it is smaller than the sum of its proper divisors (214255597890).

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

135003666750 is a wasteful number, since it uses less digits than its factorization.

135003666750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44799 (or 44789 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 135003666750 in words is "one hundred thirty-five billion, three million, six hundred sixty-six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 109 111 125 150 185 218 222 250 327 370 375 545 555 654 750 925 1090 1110 1635 1850 2725 2775 3270 4033 4625 5450 5550 8066 8175 9250 12099 13625 13875 16350 20165 24198 27250 27750 40330 40875 44633 60495 81750 89266 100825 120990 133899 201650 223165 267798 302475 446330 504125 604950 669495 1008250 1115825 1338990 1512375 1651421 2231650 3024750 3302842 3347475 4864997 4954263 5579125 6694950 8257105 9729994 9908526 11158250 14594991 16514210 16737375 24324985 24771315 29189982 33474750 41285525 48649970 49542630 72974955 82571050 121624925 123856575 145949910 180004889 206427625 243249850 247713150 360009778 364874775 412855250 540014667 608124625 619282875 729749550 900024445 1080029334 1216249250 1238565750 1800048890 1824373875 2700073335 3648747750 4500122225 5400146670 9000244450 13500366675 22500611125 27000733350 45001222250 67501833375 135003666750