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136123648 = 282572069
BaseRepresentation
bin10000001110100…
…01010100000000
3100111010210112121
420013101110000
5234321424043
621301334024
73242013643
oct1007212400
9314123477
10136123648
116a924791
1239707314
1322280b4b
1414115a5a
15be3cded
hex81d1500

136123648 has 36 divisors (see below), whose sum is σ = 272904660. Its totient is φ = 67764224.

The previous prime is 136123643. The next prime is 136123693. The reversal of 136123648 is 846321631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87011584 + 49112064 = 9328^2 + 7008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136123643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64758 + ... + 66826.

It is an arithmetic number, because the mean of its divisors is an integer number (7580685).

Almost surely, 2136123648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136452330).

136123648 is an abundant number, since it is smaller than the sum of its proper divisors (136781012).

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

136123648 is an equidigital number, since it uses as much as digits as its factorization.

136123648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2328 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 136123648 is about 11667.2039495331. The cubic root of 136123648 is about 514.4121208386.

The spelling of 136123648 in words is "one hundred thirty-six million, one hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 257 514 1028 2056 2069 4112 4138 8224 8276 16448 16552 32896 33104 65792 66208 132416 264832 529664 531733 1063466 2126932 4253864 8507728 17015456 34030912 68061824 136123648