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137125 = 531097
BaseRepresentation
bin100001011110100101
320222002201
4201132211
513342000
62534501
71110532
oct413645
9228081
10137125
119402a
1267431
134a551
1437d89
152a96a
hex217a5

137125 has 8 divisors (see below), whose sum is σ = 171288. Its totient is φ = 109600.

The previous prime is 137119. The next prime is 137131. The reversal of 137125 is 521731.

137125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137119) and next prime (137131).

It can be written as a sum of positive squares in 4 ways, for example, as 13924 + 123201 = 118^2 + 351^2 .

It is not a de Polignac number, because 137125 - 23 = 137117 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (21411).

2137125 is an apocalyptic number.

It is an amenable number.

137125 is a deficient number, since it is larger than the sum of its proper divisors (34163).

137125 is an equidigital number, since it uses as much as digits as its factorization.

137125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1102 counting only the distinct ones).

The product of its digits is 210, while the sum is 19.

The square root of 137125 is about 370.3039292257. The cubic root of 137125 is about 51.5670412284.

Adding to 137125 its reverse (521731), we get a palindrome (658856).

It can be divided in two parts, 137 and 125, that added together give a palindrome (262).

The spelling of 137125 in words is "one hundred thirty-seven thousand, one hundred twenty-five".

Divisors: 1 5 25 125 1097 5485 27425 137125