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135113925294 = 232198315313109
BaseRepresentation
bin111110111010101101…
…0101110001010101110
3110220202022200120022100
41331311122232022232
54203203131102134
6142023120155530
712522151262355
oct1756532561256
9426668616270
10135113925294
1152335319977
1222229468ba6
13c98351132a
14677a74499c
1537abcc0999
hex1f756ae2ae

135113925294 has 96 divisors (see below), whose sum is σ = 312171350400. Its totient is φ = 42112405440.

The previous prime is 135113925283. The next prime is 135113925301. The reversal of 135113925294 is 492529311531.

135113925294 is a `hidden beast` number, since 1 + 3 + 5 + 113 + 9 + 2 + 529 + 4 = 666.

It is a super-2 number, since 2×1351139252942 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43457412 + ... + 43460520.

It is an arithmetic number, because the mean of its divisors is an integer number (3251784900).

Almost surely, 2135113925294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135113925294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156085675200).

135113925294 is an abundant number, since it is smaller than the sum of its proper divisors (177057425106).

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

135113925294 is a wasteful number, since it uses less digits than its factorization.

135113925294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4747 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 135113925294 in words is "one hundred thirty-five billion, one hundred thirteen million, nine hundred twenty-five thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 19 38 57 83 114 166 171 249 342 498 747 1494 1531 1577 3062 3109 3154 4593 4731 6218 9186 9327 9462 13779 14193 18654 27558 27981 28386 29089 55962 58178 59071 87267 118142 127073 174534 177213 254146 258047 261801 354426 381219 516094 523602 531639 762438 774141 1063278 1143657 1548282 2287314 2322423 2414387 4644846 4759879 4828774 4902893 7243161 9519758 9805786 14279637 14486322 14708679 21729483 28559274 29417358 42838911 43458966 44126037 85677822 88252074 90437701 180875402 271313103 395069957 542626206 790139914 813939309 1185209871 1627878618 2370419742 3555629613 7111259226 7506329183 15012658366 22518987549 45037975098 67556962647 135113925294