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134745504 = 2535371373
BaseRepresentation
bin10000000100000…
…00110110100000
3100101112210002020
420002000312200
5233443324004
621212021440
73224214015
oct1002006640
9311483066
10134745504
116a073323
1239161880
1321bba78a
1413c7770c
15bc698d9
hex8080da0

134745504 has 96 divisors (see below), whose sum is σ = 366436224. Its totient is φ = 43330560.

The previous prime is 134745503. The next prime is 134745521. The reversal of 134745504 is 405547431.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (134745503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361062 + ... + 361434.

It is an arithmetic number, because the mean of its divisors is an integer number (3817044).

Almost surely, 2134745504 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 134745504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183218112).

134745504 is an abundant number, since it is smaller than the sum of its proper divisors (231690720).

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

134745504 is a wasteful number, since it uses less digits than its factorization.

134745504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 134745504 is about 11607.9931081992. The cubic root of 134745504 is about 512.6702241606.

The spelling of 134745504 in words is "one hundred thirty-four million, seven hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 71 96 106 142 159 212 213 284 318 373 424 426 568 636 746 848 852 1119 1136 1272 1492 1696 1704 2238 2272 2544 2984 3408 3763 4476 5088 5968 6816 7526 8952 11289 11936 15052 17904 19769 22578 26483 30104 35808 39538 45156 52966 59307 60208 79076 79449 90312 105932 118614 120416 158152 158898 180624 211864 237228 316304 317796 361248 423728 474456 632608 635592 847456 948912 1271184 1403599 1897824 2542368 2807198 4210797 5614396 8421594 11228792 16843188 22457584 33686376 44915168 67372752 134745504