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136916 = 22132633
BaseRepresentation
bin100001011011010100
320221210222
4201123110
513340131
62533512
71110113
oct413324
9227728
10136916
119395a
1267298
134a420
1437c7a
152a87b
hex216d4

136916 has 12 divisors (see below), whose sum is σ = 258132. Its totient is φ = 63168.

The previous prime is 136897. The next prime is 136943. The reversal of 136916 is 619631.

136916 = T45 + T46 + ... + T96.

It can be written as a sum of positive squares in 2 ways, for example, as 21316 + 115600 = 146^2 + 340^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136916.

It is an unprimeable number.

136916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1265 + ... + 1368.

It is an arithmetic number, because the mean of its divisors is an integer number (21511).

2136916 is an apocalyptic number.

It is an amenable number.

136916 is a deficient number, since it is larger than the sum of its proper divisors (121216).

136916 is a wasteful number, since it uses less digits than its factorization.

136916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2648 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 136916 is about 370.0216209899. The cubic root of 136916 is about 51.5408291548.

It can be divided in two parts, 1369 and 16, that multiplied together give a square (21904 = 1482).

The spelling of 136916 in words is "one hundred thirty-six thousand, nine hundred sixteen".

Divisors: 1 2 4 13 26 52 2633 5266 10532 34229 68458 136916