Search a number
-
+
136302144 = 2631125867
BaseRepresentation
bin10000001111111…
…00111001000000
3100111110212101120
420013330321000
5234343132034
621305232240
73243356226
oct1007747100
9314425346
10136302144
116aa36900
1239792680
1322314174
1414160b16
15be75c49
hex81fce40

136302144 has 84 divisors (see below), whose sum is σ = 396465552. Its totient is φ = 41296640.

The previous prime is 136302137. The next prime is 136302157. The reversal of 136302144 is 441203631.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20299 + ... + 26165.

It is an arithmetic number, because the mean of its divisors is an integer number (4719828).

Almost surely, 2136302144 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 136302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198232776).

136302144 is an abundant number, since it is smaller than the sum of its proper divisors (260163408).

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

136302144 is a wasteful number, since it uses less digits than its factorization.

136302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 136302144 is about 11674.8509198191. The cubic root of 136302144 is about 514.6368684667.

Adding to 136302144 its reverse (441203631), we get a palindrome (577505775).

The spelling of 136302144 in words is "one hundred thirty-six million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 5867 7744 11616 11734 17601 23232 23468 35202 46936 64537 70404 93872 129074 140808 187744 193611 258148 281616 375488 387222 516296 563232 709907 774444 1032592 1126464 1419814 1548888 2065184 2129721 2839628 3097776 4130368 4259442 5679256 6195552 8518884 11358512 12391104 17037768 22717024 34075536 45434048 68151072 136302144