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136313180 = 22523378009
BaseRepresentation
bin10000001111111…
…11100101011100
3100111111102112022
420013333211130
5234344010210
621305355312
73243433343
oct1007774534
9314442468
10136313180
116aa44123
1239798b38
13223191b3
1414164b5a
15be79155
hex81ff95c

136313180 has 48 divisors (see below), whose sum is σ = 306815040. Its totient is φ = 50738688.

The previous prime is 136313179. The next prime is 136313197. The reversal of 136313180 is 81313631.

It is a happy number.

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, 13016 + ... + 21024.

It is an arithmetic number, because the mean of its divisors is an integer number (6391980).

Almost surely, 2136313180 is an apocalyptic number.

136313180 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 136313180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153407520).

136313180 is an abundant number, since it is smaller than the sum of its proper divisors (170501860).

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

136313180 is a wasteful number, since it uses less digits than its factorization.

136313180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8078 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 136313180 is about 11675.3235501206. The cubic root of 136313180 is about 514.6507576569.

The spelling of 136313180 in words is "one hundred thirty-six million, three hundred thirteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 3404 4255 8009 8510 16018 17020 32036 40045 80090 160180 184207 296333 368414 592666 736828 921035 1185332 1481665 1842070 2963330 3684140 5926660 6815659 13631318 27262636 34078295 68156590 136313180