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136872 = 23321901
BaseRepresentation
bin100001011010101000
320221202100
4201122220
513334442
62533400
71110021
oct413250
9227670
10136872
119391a
1267260
134a3b8
1437c48
152a84c
hex216a8

136872 has 24 divisors (see below), whose sum is σ = 370890. Its totient is φ = 45600.

The previous prime is 136861. The next prime is 136879. The reversal of 136872 is 278631.

It can be written as a sum of positive squares in only one way, i.e., 133956 + 2916 = 366^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (136879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 879 + ... + 1022.

2136872 is an apocalyptic number.

136872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136872 is an abundant number, since it is smaller than the sum of its proper divisors (234018).

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

136872 is a wasteful number, since it uses less digits than its factorization.

136872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1906 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 136872 is about 369.9621602272. The cubic root of 136872 is about 51.5353074250.

It can be divided in two parts, 13687 and 2, that added together give a square (13689 = 1172).

The spelling of 136872 in words is "one hundred thirty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1901 3802 5703 7604 11406 15208 17109 22812 34218 45624 68436 136872