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137240 = 2354773
BaseRepresentation
bin100001100000011000
320222020222
4201200120
513342430
62535212
71111055
oct414030
9228228
10137240
1194124
1267508
134a60c
143802c
152a9e5
hex21818

137240 has 32 divisors (see below), whose sum is σ = 319680. Its totient is φ = 52992.

The previous prime is 137239. The next prime is 137251. The reversal of 137240 is 42731.

137240 = 852 + 862 + ... + 1002.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844 + ... + 1916.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

2137240 is an apocalyptic number.

137240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159840).

137240 is an abundant number, since it is smaller than the sum of its proper divisors (182440).

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

137240 is a wasteful number, since it uses less digits than its factorization.

137240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 137240 is about 370.4591745388. The cubic root of 137240 is about 51.5814527817.

Adding to 137240 its reverse (42731), we get a palindrome (179971).

The spelling of 137240 in words is "one hundred thirty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 73 94 146 188 235 292 365 376 470 584 730 940 1460 1880 2920 3431 6862 13724 17155 27448 34310 68620 137240