Search a number
-
+
135723151045300 = 225271356926212007
BaseRepresentation
bin11110110111000010000010…
…001101001011001010110100
3122210120000011202101202201011
4132313002002031023022310
5120242142003131422200
61200354204351042004
740405450131012220
oct3667020215131264
9583500152352634
10135723151045300
113a277957519375
1213280080810304
135a9683b24c150
14257306d815780
1510a570d56b5ba
hex7b708234b2b4

135723151045300 has 144 divisors (see below), whose sum is σ = 363122286186240. Its totient is φ = 42878647895040.

The previous prime is 135723151045249. The next prime is 135723151045367. The reversal of 135723151045300 is 3540151327531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7928104 + ... + 18283903.

It is an arithmetic number, because the mean of its divisors is an integer number (2521682542960).

Almost surely, 2135723151045300 is an apocalyptic number.

135723151045300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135723151045300 is an abundant number, since it is smaller than the sum of its proper divisors (227399135140940).

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

135723151045300 is a wasteful number, since it uses less digits than its factorization.

135723151045300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26212610 (or 26212603 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 135723151045300 in words is "one hundred thirty-five trillion, seven hundred twenty-three billion, one hundred fifty-one million, forty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 569 650 700 910 1138 1300 1820 2275 2276 2845 3983 4550 5690 7397 7966 9100 11380 14225 14794 15932 19915 28450 29588 36985 39830 51779 56900 73970 79660 99575 103558 147940 184925 199150 207116 258895 369850 398300 517790 739700 1035580 1294475 2588950 5177900 26212007 52424014 104848028 131060035 183484049 262120070 340756091 366968098 524240140 655300175 681512182 733936196 917420245 1310600350 1363024364 1703780455 1834840490 2385292637 2621200700 3407560910 3669680980 4587101225 4770585274 6815121820 8518902275 9174202450 9541170548 11926463185 14914631983 17037804550 18348404900 23852926370 29829263966 34075609100 47705852740 59632315925 59658527932 74573159915 104402423881 119264631850 149146319830 193890215779 208804847762 238529263700 298292639660 372865799575 387780431558 417609695524 522012119405 745731599150 775560863116 969451078895 1044024238810 1357231510453 1491463198300 1938902157790 2088048477620 2610060597025 2714463020906 3877804315580 4847255394475 5220121194050 5428926041812 6786157552265 9694510788950 10440242388100 13572315104530 19389021577900 27144630209060 33930787761325 67861575522650 135723151045300