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137046 = 23713251
BaseRepresentation
bin100001011101010110
320221222210
4201131112
513341141
62534250
71110360
oct413526
9227883
10137046
1193a68
1267386
134a4c0
1437d30
152a916
hex21756

137046 has 32 divisors (see below), whose sum is σ = 338688. Its totient is φ = 36000.

The previous prime is 137029. The next prime is 137077. The reversal of 137046 is 640731.

Adding to 137046 its product of nonzero digits (504), we get a triangular number (137550 = T524).

Adding to 137046 its reverse (640731), we get a palindrome (777777).

137046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1370462 = 37563212232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

137046 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, 421 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2137046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

137046 is an abundant number, since it is smaller than the sum of its proper divisors (201642).

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

137046 is a wasteful number, since it uses less digits than its factorization.

137046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 137046 is about 370.1972447223. The cubic root of 137046 is about 51.5571364485.

The spelling of 137046 in words is "one hundred thirty-seven thousand, forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 251 273 502 546 753 1506 1757 3263 3514 5271 6526 9789 10542 19578 22841 45682 68523 137046