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.

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.

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).

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