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136501464 = 233114112611
BaseRepresentation
bin10000010001011…
…01100011011000
3100111211222210210
420020231203120
5234421021324
621313411120
73245146311
oct1010554330
9314758723
10136501464
1170062630
1239869aa0
1322383ac8
14141b3608
15beb4d29
hex822d8d8

136501464 has 64 divisors (see below), whose sum is σ = 381386880. Its totient is φ = 40352000.

The previous prime is 136501451. The next prime is 136501487. The reversal of 136501464 is 464105631.

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 15 ways as a sum of consecutive naturals, for example, 4519 + ... + 17129.

It is an arithmetic number, because the mean of its divisors is an integer number (5959170).

Almost surely, 2136501464 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 136501464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190693440).

136501464 is an abundant number, since it is smaller than the sum of its proper divisors (244885416).

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

136501464 is a wasteful number, since it uses less digits than its factorization.

136501464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12668 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 136501464 is about 11683.3840987960. The cubic root of 136501464 is about 514.8876042149.

The spelling of 136501464 in words is "one hundred thirty-six million, five hundred one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 12611 25222 37833 50444 75666 100888 138721 151332 277442 302664 416163 517051 554884 832326 1034102 1109768 1551153 1664652 2068204 3102306 3329304 4136408 5687561 6204612 11375122 12409224 17062683 22750244 34125366 45500488 68250732 136501464