137456 has 30 divisors (see below), whose sum is σ = 296856. Its totient is φ = 61600.

The previous prime is 137453. The next prime is 137477. The reversal of 137456 is 654731.

137456 = T₁₂₃ + T₁₂₄ + ... + T₁₃₈.

It is a d-powerful number, because it can be written as 1 + 3¹⁰ + 4² + 7² + 5⁷ + 6³ .

Its product of digits (2520) is a multiple of the sum of its prime divisors (84).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1901 + ... + 1971.

2¹³⁷⁴⁵⁶ is an apocalyptic number.

137456 is a gapful number since it is divisible by the number (16) 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 137456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428).

137456 is an abundant number, since it is smaller than the sum of its proper divisors (159400).

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

137456 is a wasteful number, since it uses less digits than its factorization.

137456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 137456 is about 370.7505900198. The cubic root of 137456 is about 51.6084996915.

The spelling of 137456 in words is "one hundred thirty-seven thousand, four hundred fifty-six".