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135776660 = 225191033469
BaseRepresentation
bin10000001011111…
…00100110010100
3100110111011120012
420011330212110
5234224323120
621250055352
73236040215
oct1005744624
9313434505
10135776660
116a708018
123957a558
132218bc26
141406540c
15bdc01c5
hex817c994

135776660 has 48 divisors (see below), whose sum is σ = 303139200. Its totient is φ = 50937984.

The previous prime is 135776651. The next prime is 135776681. The reversal of 135776660 is 66677531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37406 + ... + 40874.

It is an arithmetic number, because the mean of its divisors is an integer number (6315400).

Almost surely, 2135776660 is an apocalyptic number.

135776660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135776660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151569600).

135776660 is an abundant number, since it is smaller than the sum of its proper divisors (167362540).

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

135776660 is a wasteful number, since it uses less digits than its factorization.

135776660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 135776660 is about 11652.3242316716. The cubic root of 135776660 is about 513.9746589777.

The spelling of 135776660 in words is "one hundred thirty-five million, seven hundred seventy-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 380 412 515 1030 1957 2060 3469 3914 6938 7828 9785 13876 17345 19570 34690 39140 65911 69380 131822 263644 329555 357307 659110 714614 1318220 1429228 1786535 3573070 6788833 7146140 13577666 27155332 33944165 67888330 135776660