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134526500 = 22531132381
BaseRepresentation
bin10000000010010…
…11011000100100
3100101010122122222
420001023120210
5233414322000
621203211512
73222312353
oct1001133044
9311118588
10134526500
1169a33829
1239076b98
1321b41ba4
1413c1b99a
15bc24a85
hex804b624

134526500 has 48 divisors (see below), whose sum is σ = 296530416. Its totient is φ = 53312000.

The previous prime is 134526473. The next prime is 134526503. The reversal of 134526500 is 5625431.

It can be written as a sum of positive squares in 8 ways, for example, as 125574436 + 8952064 = 11206^2 + 2992^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 134526500.

It is not an unprimeable number, because it can be changed into a prime (134526503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55310 + ... + 57690.

It is an arithmetic number, because the mean of its divisors is an integer number (6177717).

Almost surely, 2134526500 is an apocalyptic number.

134526500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134526500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148265208).

134526500 is an abundant number, since it is smaller than the sum of its proper divisors (162003916).

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

134526500 is a wasteful number, since it uses less digits than its factorization.

134526500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 134526500 is about 11598.5559445993. Note that the first 3 decimals coincide. The cubic root of 134526500 is about 512.3923232045.

The spelling of 134526500 in words is "one hundred thirty-four million, five hundred twenty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 125 226 250 452 500 565 1130 2260 2381 2825 4762 5650 9524 11300 11905 14125 23810 28250 47620 56500 59525 119050 238100 269053 297625 538106 595250 1076212 1190500 1345265 2690530 5381060 6726325 13452650 26905300 33631625 67263250 134526500