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135662500 = 225510853
BaseRepresentation
bin10000001011000…
…00101110100100
3100110021100222001
420011200232210
5234212200000
621243415044
73235053331
oct1005405644
9313240861
10135662500
116a63a276
1239524484
132214bc8c
1414035988
15bd9b46a
hex8160ba4

135662500 has 36 divisors (see below), whose sum is σ = 296770068. Its totient is φ = 54260000.

The previous prime is 135662491. The next prime is 135662507. The reversal of 135662500 is 5266531.

It can be written as a sum of positive squares in 6 ways, for example, as 109998144 + 25664356 = 10488^2 + 5066^2 .

It is not an unprimeable number, because it can be changed into a prime (135662507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7074 + ... + 17926.

It is an arithmetic number, because the mean of its divisors is an integer number (8243613).

Almost surely, 2135662500 is an apocalyptic number.

135662500 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 135662500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148385034).

135662500 is an abundant number, since it is smaller than the sum of its proper divisors (161107568).

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

135662500 is an equidigital number, since it uses as much as digits as its factorization.

135662500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 135662500 is about 11647.4246080410. The cubic root of 135662500 is about 513.8305699044.

The spelling of 135662500 in words is "one hundred thirty-five million, six hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 10853 12500 21706 43412 54265 108530 217060 271325 542650 1085300 1356625 2713250 5426500 6783125 13566250 27132500 33915625 67831250 135662500