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135054066030 = 235133595411783
BaseRepresentation
bin111110111000111011…
…0011000000101101110
3110220121011001101211120
41331301312120011232
54203042320103110
6142013141201410
712520523422512
oct1756166300556
9426534041746
10135054066030
1152304554804
1222211400266
13c973cb3450
146772802142
1537a68e9870
hex1f71d9816e

135054066030 has 128 divisors (see below), whose sum is σ = 350878832640. Its totient is φ = 33071639040.

The previous prime is 135054066029. The next prime is 135054066067. The reversal of 135054066030 is 30660450531.

It is a junction number, because it is equal to n+sod(n) for n = 135054065982 and 135054066000.

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, 75744519 + ... + 75746301.

It is an arithmetic number, because the mean of its divisors is an integer number (2741240880).

Almost surely, 2135054066030 is an apocalyptic number.

135054066030 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 135054066030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175439416320).

135054066030 is an abundant number, since it is smaller than the sum of its proper divisors (215824766610).

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

135054066030 is a wasteful number, since it uses less digits than its factorization.

135054066030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706.

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 135054066030 in words is "one hundred thirty-five billion, fifty-four million, sixty-six thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 359 390 541 718 1077 1082 1623 1783 1795 2154 2705 3246 3566 3590 4667 5349 5385 5410 7033 8115 8915 9334 10698 10770 14001 14066 16230 17830 21099 23179 23335 26745 28002 35165 42198 46358 46670 53490 69537 70005 70330 105495 115895 139074 140010 194219 210990 231790 347685 388438 582657 640097 695370 964603 971095 1165314 1280194 1920291 1929206 1942190 2524847 2893809 2913285 3200485 3840582 4823015 5049694 5787618 5826570 6400970 7574541 8321261 9601455 9646030 12539839 12624235 14469045 15149082 16642522 19202910 24963783 25079678 25248470 28938090 37619517 37872705 41606305 49927566 62699195 75239034 75745410 83212610 124818915 125398390 188097585 249637830 346292477 376195170 692584954 1038877431 1731462385 2077754862 3462924770 4501802201 5194387155 9003604402 10388774310 13505406603 22509011005 27010813206 45018022010 67527033015 135054066030