Search a number
-
+
128616137 = 1311938293
BaseRepresentation
bin1111010101010…
…00011011001001
322222000101011122
413222220123021
5230411204022
620432405025
73121135106
oct752503311
9288011148
10128616137
1166667231
12370a6775
1320852930
141311daad
15b458742
hex7aa86c9

128616137 has 8 divisors (see below), whose sum is σ = 138642504. Its totient is φ = 118608768.

The previous prime is 128616133. The next prime is 128616151. The reversal of 128616137 is 731616821.

It can be written as a sum of positive squares in 4 ways, for example, as 383161 + 128232976 = 619^2 + 11324^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 128616137 - 22 = 128616133 is a prime.

It is a super-2 number, since 2×1286161372 = 33084221393605538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128616097 and 128616106.

It is not an unprimeable number, because it can be changed into a prime (128616133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11363 + ... + 19655.

It is an arithmetic number, because the mean of its divisors is an integer number (17330313).

Almost surely, 2128616137 is an apocalyptic number.

It is an amenable number.

128616137 is a deficient number, since it is larger than the sum of its proper divisors (10026367).

128616137 is a wasteful number, since it uses less digits than its factorization.

128616137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9499.

The product of its digits is 12096, while the sum is 35.

The square root of 128616137 is about 11340.9054753137. The cubic root of 128616137 is about 504.7757550937.

The spelling of 128616137 in words is "one hundred twenty-eight million, six hundred sixteen thousand, one hundred thirty-seven".

Divisors: 1 13 1193 8293 15509 107809 9893549 128616137