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136526900 = 22521365269
BaseRepresentation
bin10000010001100…
…11110000110100
3100111220021200212
420020303300310
5234422330100
621314124552
73245313416
oct1010636064
9314807625
10136526900
117007a754
1239880758
1322392563
14141bc9b6
15bebc635
hex8233c34

136526900 has 18 divisors (see below), whose sum is σ = 296263590. Its totient is φ = 54610720.

The previous prime is 136526893. The next prime is 136526903. The reversal of 136526900 is 9625631.

It is a happy number.

136526900 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 22165264 + 114361636 = 4708^2 + 10694^2 .

It is a super-2 number, since 2×1365269002 = 37279188847220000, which contains 22 as substring.

136526900 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136526903) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 682535 + ... + 682734.

Almost surely, 2136526900 is an apocalyptic number.

136526900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136526900 is an abundant number, since it is smaller than the sum of its proper divisors (159736690).

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

136526900 is a wasteful number, since it uses less digits than its factorization.

136526900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365283 (or 1365276 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 136526900 is about 11684.4726025611. The cubic root of 136526900 is about 514.9195840128.

The spelling of 136526900 in words is "one hundred thirty-six million, five hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1365269 2730538 5461076 6826345 13652690 27305380 34131725 68263450 136526900