Search a number
-
+
136561600 = 2652789137
BaseRepresentation
bin10000010001111…
…00001111000000
3100111222001022001
420020330033000
5234424432400
621314553344
73245516530
oct1010741700
9314861261
10136561600
11700a382a
1239898854
13223a52a6
14141cb4c0
15bec7a6a
hex823c3c0

136561600 has 168 divisors, whose sum is σ = 391180320. Its totient is φ = 45957120.

The previous prime is 136561597. The next prime is 136561637. The reversal of 136561600 is 6165631.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996732 + ... + 996868.

Almost surely, 2136561600 is an apocalyptic number.

136561600 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 136561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195590160).

136561600 is an abundant number, since it is smaller than the sum of its proper divisors (254618720).

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

136561600 is a wasteful number, since it uses less digits than its factorization.

136561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 136561600 is about 11685.9573848273. The cubic root of 136561600 is about 514.9632047108.

The spelling of 136561600 in words is "one hundred thirty-six million, five hundred sixty-one thousand, six hundred".