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136005144 = 233112711901
BaseRepresentation
bin10000001101101…
…00011000011000
3100110220202222120
420012310120120
5234304131034
621255021240
73241011312
oct1006643030
9313822876
10136005144
116a853750
123966a820
132223bc22
14140c47b2
15be17c49
hex81b4618

136005144 has 64 divisors (see below), whose sum is σ = 372487680. Its totient is φ = 41040000.

The previous prime is 136005139. The next prime is 136005167. The reversal of 136005144 is 441500631.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 70594 + ... + 72494.

It is an arithmetic number, because the mean of its divisors is an integer number (5820120).

Almost surely, 2136005144 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 136005144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186243840).

136005144 is an abundant number, since it is smaller than the sum of its proper divisors (236482536).

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

136005144 is a wasteful number, since it uses less digits than its factorization.

136005144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 136005144 is about 11662.1243347857. The cubic root of 136005144 is about 514.2628017129.

Adding to 136005144 its reverse (441500631), we get a palindrome (577505775).

The spelling of 136005144 in words is "one hundred thirty-six million, five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 271 542 813 1084 1626 1901 2168 2981 3252 3802 5703 5962 6504 7604 8943 11406 11924 15208 17886 20911 22812 23848 35772 41822 45624 62733 71544 83644 125466 167288 250932 501864 515171 1030342 1545513 2060684 3091026 4121368 5666881 6182052 11333762 12364104 17000643 22667524 34001286 45335048 68002572 136005144