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135059200280 = 23517499398029
BaseRepresentation
bin111110111001000100…
…1111101100100011000
3110220121111201020200222
41331302021331210120
54203100123402110
6142013443215212
712520615155254
oct1756211754430
9426544636628
10135059200280
1152307441194
1222213077508
13c975090374
14677337b264
1537a70b0c55
hex1f7227d918

135059200280 has 64 divisors (see below), whose sum is σ = 322404300000. Its totient is φ = 50743793664.

The previous prime is 135059200279. The next prime is 135059200421. The reversal of 135059200280 is 82002950531.

It is a self number, because there is not a number n which added to its sum of digits gives 135059200280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140306 + ... + 538334.

Almost surely, 2135059200280 is an apocalyptic number.

135059200280 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 135059200280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161202150000).

135059200280 is an abundant number, since it is smaller than the sum of its proper divisors (187345099720).

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

135059200280 is a wasteful number, since it uses less digits than its factorization.

135059200280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398556 (or 398552 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 135059200280 in words is "one hundred thirty-five billion, fifty-nine million, two hundred thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 499 680 998 1996 2495 3992 4990 8483 9980 16966 19960 33932 42415 67864 84830 169660 339320 398029 796058 1592116 1990145 3184232 3980290 6766493 7960580 13532986 15921160 27065972 33832465 54131944 67664930 135329860 198616471 270659720 397232942 794465884 993082355 1588931768 1986164710 3376480007 3972329420 6752960014 7944658840 13505920028 16882400035 27011840056 33764800070 67529600140 135059200280