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75134136 = 233711109373
BaseRepresentation
bin1000111101001…
…11010010111000
312020101012122210
410132213102320
5123213243021
611242215120
71601425650
oct436472270
9166335583
1075134136
1139458430
12211b44a0
131274868c
149d9b360
1568e1e76
hex47a74b8

75134136 has 128 divisors (see below), whose sum is σ = 236966400. Its totient is φ = 19284480.

The previous prime is 75134093. The next prime is 75134141. The reversal of 75134136 is 63143157.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201246 + ... + 201618.

It is an arithmetic number, because the mean of its divisors is an integer number (1851300).

Almost surely, 275134136 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 75134136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118483200).

75134136 is an abundant number, since it is smaller than the sum of its proper divisors (161832264).

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

75134136 is a wasteful number, since it uses less digits than its factorization.

75134136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 75134136 is about 8667.9949238564. The cubic root of 75134136 is about 421.9675933277.

The spelling of 75134136 in words is "seventy-five million, one hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 109 132 154 168 218 231 264 308 327 373 436 462 616 654 746 763 872 924 1119 1199 1308 1492 1526 1848 2238 2289 2398 2611 2616 2984 3052 3597 4103 4476 4578 4796 5222 6104 7194 7833 8206 8393 8952 9156 9592 10444 12309 14388 15666 16412 16786 18312 20888 24618 25179 28721 28776 31332 32824 33572 40657 49236 50358 57442 62664 67144 81314 86163 98472 100716 114884 121971 162628 172326 201432 229768 243942 284599 325256 344652 447227 487884 569198 689304 853797 894454 975768 1138396 1341681 1707594 1788908 2276792 2683362 3130589 3415188 3577816 5366724 6261178 6830376 9391767 10733448 12522356 18783534 25044712 37567068 75134136