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136960 = 285107
BaseRepresentation
bin100001011100000000
320221212121
4201130000
513340320
62534024
71110205
oct413400
9227777
10136960
119399a
1267314
134a455
1437cac
152a8aa
hex21700

136960 has 36 divisors (see below), whose sum is σ = 331128. Its totient is φ = 54272.

The previous prime is 136951. The next prime is 136963. The reversal of 136960 is 69631.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136963) by changing a digit.

136960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1227 + ... + 1333.

It is an arithmetic number, because the mean of its divisors is an integer number (9198).

2136960 is an apocalyptic number.

136960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136960 is the 214-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165564).

136960 is an abundant number, since it is smaller than the sum of its proper divisors (194168).

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

136960 is an equidigital number, since it uses as much as digits as its factorization.

136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 136960 is about 370.0810721991. The cubic root of 136960 is about 51.5463497017.

The spelling of 136960 in words is "one hundred thirty-six thousand, nine hundred sixty".