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137060 = 22571189
BaseRepresentation
bin100001011101100100
320222000022
4201131210
513341220
62534312
71110410
oct413544
9228008
10137060
1193a80
1267398
134a501
1437d40
152a925
hex21764

137060 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 42240.

The previous prime is 137029. The next prime is 137077. The reversal of 137060 is 60731.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137060.

It is an unprimeable number.

137060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1496 + ... + 1584.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2137060 is an apocalyptic number.

137060 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 137060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

137060 is an abundant number, since it is smaller than the sum of its proper divisors (225820).

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

137060 is a wasteful number, since it uses less digits than its factorization.

137060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 137060 is about 370.2161530782. The cubic root of 137060 is about 51.5588920034.

Adding to 137060 its reverse (60731), we get a palindrome (197791).

The spelling of 137060 in words is "one hundred thirty-seven thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 890 979 1246 1540 1780 1958 2492 3115 3916 4895 6230 6853 9790 12460 13706 19580 27412 34265 68530 137060