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135500825408 = 2613231404123
BaseRepresentation
bin111111000110001111…
…0101000001101000000
3110221202021201010111012
41332030132220031000
54210001202403113
6142125340540052
712534560004134
oct1761436501500
9427667633435
10135500825408
1152513757733
1222316b51628
13ca15717100
1467b5c993c4
1537d0c47aa8
hex1f8c7a8340

135500825408 has 84 divisors (see below), whose sum is σ = 300551868288. Its totient is φ = 60521310720.

The previous prime is 135500825389. The next prime is 135500825423. The reversal of 135500825408 is 804528005531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133235 + ... + 537357.

It is an arithmetic number, because the mean of its divisors is an integer number (3577998432).

Almost surely, 2135500825408 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 135500825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150275934144).

135500825408 is an abundant number, since it is smaller than the sum of its proper divisors (165051042880).

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

135500825408 is a wasteful number, since it uses less digits than its factorization.

135500825408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404192 (or 404169 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The spelling of 135500825408 in words is "one hundred thirty-five billion, five hundred million, eight hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 169 208 248 338 403 416 496 676 806 832 992 1352 1612 1984 2704 3224 5239 5408 6448 10478 10816 12896 20956 25792 41912 83824 167648 335296 404123 808246 1616492 3232984 5253599 6465968 10507198 12527813 12931936 21014396 25055626 25863872 42028792 50111252 68296787 84057584 100222504 136593574 162861569 168115168 200445008 273187148 325723138 336230336 400890016 546374296 651446276 801780032 1092748592 1302892552 2117200397 2185497184 2605785104 4234400794 4370994368 5211570208 8468801588 10423140416 16937603176 33875206352 67750412704 135500825408