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136378660 = 225112292707
BaseRepresentation
bin10000010000011…
…11100100100100
3100111121202100111
420020033210210
5234403104120
621311022404
73244125265
oct1010174444
9314552314
10136378660
116aa89340
123980aa04
132233cc42
141418096c
15be8d75a
hex820f924

136378660 has 48 divisors (see below), whose sum is σ = 313911360. Its totient is φ = 49357440.

The previous prime is 136378643. The next prime is 136378667. The reversal of 136378660 is 66873631.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (136378667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49027 + ... + 51733.

It is an arithmetic number, because the mean of its divisors is an integer number (6539820).

Almost surely, 2136378660 is an apocalyptic number.

136378660 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 136378660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156955680).

136378660 is an abundant number, since it is smaller than the sum of its proper divisors (177532700).

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

136378660 is a wasteful number, since it uses less digits than its factorization.

136378660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 136378660 is about 11678.1274183835. The cubic root of 136378660 is about 514.7331511008.

The spelling of 136378660 in words is "one hundred thirty-six million, three hundred seventy-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 229 458 916 1145 2290 2519 2707 4580 5038 5414 10076 10828 12595 13535 25190 27070 29777 50380 54140 59554 119108 148885 297770 595540 619903 1239806 2479612 3099515 6199030 6818933 12398060 13637866 27275732 34094665 68189330 136378660