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137445 = 35721117
BaseRepresentation
bin100001100011100101
320222112120
4201203211
513344240
62540153
71111500
oct414345
9228476
10137445
11942a0
1267659
134a739
1438137
152aad0
hex218e5

137445 has 48 divisors (see below), whose sum is σ = 295488. Its totient is φ = 53760.

The previous prime is 137443. The next prime is 137447. The reversal of 137445 is 544731.

It is an interprime number because it is at equal distance from previous prime (137443) and next prime (137447).

It is not a de Polignac number, because 137445 - 21 = 137443 is a prime.

It is a super-2 number, since 2×1374452 = 37782256050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8077 + ... + 8093.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2137445 is an apocalyptic number.

137445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137445 is an abundant number, since it is smaller than the sum of its proper divisors (158043).

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

137445 is a wasteful number, since it uses less digits than its factorization.

137445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 43 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 137445 is about 370.7357549522. The cubic root of 137445 is about 51.6071229876.

The spelling of 137445 in words is "one hundred thirty-seven thousand, four hundred forty-five".

Divisors: 1 3 5 7 11 15 17 21 33 35 49 51 55 77 85 105 119 147 165 187 231 245 255 357 385 539 561 595 735 833 935 1155 1309 1617 1785 2499 2695 2805 3927 4165 6545 8085 9163 12495 19635 27489 45815 137445