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136314360 = 233357131973
BaseRepresentation
bin10000001111111…
…11110111111000
3100111111111011000
420013333313320
5234344024420
621305405000
73243436650
oct1007776770
9314444130
10136314360
116aa44aa6
1239799760
13223198b0
1414165360
15be79690
hex81ffdf8

136314360 has 512 divisors, whose sum is σ = 596736000. Its totient is φ = 26873856.

The previous prime is 136314359. The next prime is 136314361. The reversal of 136314360 is 63413631.

136314360 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (136314359) and next prime (136314361).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136314361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1867284 + ... + 1867356.

It is an arithmetic number, because the mean of its divisors is an integer number (1165500).

Almost surely, 2136314360 is an apocalyptic number.

136314360 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 136314360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298368000).

136314360 is an abundant number, since it is smaller than the sum of its proper divisors (460421640).

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

136314360 is a wasteful number, since it uses less digits than its factorization.

136314360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 136314360 is about 11675.3740839427. The cubic root of 136314360 is about 514.6522426836.

Adding to 136314360 its reverse (63413631), we get a palindrome (199727991).

The spelling of 136314360 in words is "one hundred thirty-six million, three hundred fourteen thousand, three hundred sixty".