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135212231544 = 23313245617309
BaseRepresentation
bin111110111101101000…
…1101110101101111000
3110221000011200001010120
41331323101232231320
54203403312402134
6142040551213240
712524454001455
oct1757321565570
9427004601116
10135212231544
1152385863905
1222256377220
13c99a9b0c00
14678981482c
1537b573d649
hex1f7b46eb78

135212231544 has 96 divisors (see below), whose sum is σ = 366163455600. Its totient is φ = 41588951040.

The previous prime is 135212231537. The next prime is 135212231551. The reversal of 135212231544 is 445132212531.

It is an interprime number because it is at equal distance from previous prime (135212231537) and next prime (135212231551).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18495762 + ... + 18503070.

Almost surely, 2135212231544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135212231544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183081727800).

135212231544 is an abundant number, since it is smaller than the sum of its proper divisors (230951224056).

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

135212231544 is a wasteful number, since it uses less digits than its factorization.

135212231544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11905 (or 11888 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The spelling of 135212231544 in words is "one hundred thirty-five billion, two hundred twelve million, two hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 4561 7309 9122 13683 14618 18244 21927 27366 29236 36488 43854 54732 58472 59293 87708 95017 109464 118586 175416 177879 190034 237172 285051 355758 380068 474344 570102 711516 760136 770809 1140204 1235221 1423032 1541618 2280408 2312427 2470442 3083236 3705663 4624854 4940884 6166472 7411326 9249708 9881768 14822652 18499416 29645304 33336349 66672698 100009047 133345396 200018094 266690792 400036188 433372537 800072376 866745074 1300117611 1733490148 2600235222 3466980296 5200470444 5633842981 10400940888 11267685962 16901528943 22535371924 33803057886 45070743848 67606115772 135212231544