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136124352 = 2632731353
BaseRepresentation
bin10000001110100…
…01011111000000
3100111010211111200
420013101133000
5234321434402
621301341200
73242016000
oct1007213700
9314124450
10136124352
116a925271
1239707800
1322281270
1414116000
15be3d21c
hex81d17c0

136124352 has 336 divisors, whose sum is σ = 499262400. Its totient is φ = 35223552.

The previous prime is 136124311. The next prime is 136124377. The reversal of 136124352 is 253421631.

136124352 is a `hidden beast` number, since 1 + 3 + 612 + 43 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2568358 + ... + 2568410.

It is an arithmetic number, because the mean of its divisors is an integer number (1485900).

Almost surely, 2136124352 is an apocalyptic number.

136124352 is a gapful number since it is divisible by the number (12) 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 136124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249631200).

136124352 is an abundant number, since it is smaller than the sum of its proper divisors (363138048).

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

136124352 is a wasteful number, since it uses less digits than its factorization.

136124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 136124352 is about 11667.2341195332. The cubic root of 136124352 is about 514.4130076438.

Adding to 136124352 its reverse (253421631), we get a palindrome (389545983).

The spelling of 136124352 in words is "one hundred thirty-six million, one hundred twenty-four thousand, three hundred fifty-two".