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137325 = 3521831
BaseRepresentation
bin100001100001101101
320222101010
4201201231
513343300
62535433
71111236
oct414155
9228333
10137325
11941a1
1267579
134a676
143808d
152aa50
hex2186d

137325 has 12 divisors (see below), whose sum is σ = 227168. Its totient is φ = 73200.

The previous prime is 137321. The next prime is 137339. The reversal of 137325 is 523731.

It is a happy number.

It is not a de Polignac number, because 137325 - 22 = 137321 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 7.

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 137325.

It is not an unprimeable number, because it can be changed into a prime (137321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841 + ... + 990.

2137325 is an apocalyptic number.

137325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137325 is a deficient number, since it is larger than the sum of its proper divisors (89843).

137325 is a wasteful number, since it uses less digits than its factorization.

137325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1839 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 137325 is about 370.5738792738. The cubic root of 137325 is about 51.5920996257.

The spelling of 137325 in words is "one hundred thirty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 75 1831 5493 9155 27465 45775 137325