137196 has 36 divisors (see below), whose sum is σ = 359632. Its totient is φ = 44064.

The previous prime is 137191. The next prime is 137197. The reversal of 137196 is 691731.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (137191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281 + ... + 1383.

2¹³⁷¹⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179816).

137196 is an abundant number, since it is smaller than the sum of its proper divisors (222436).

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

137196 is a wasteful number, since it uses less digits than its factorization.

137196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 137196 is about 370.3997840172. The cubic root of 137196 is about 51.5759397473.

It can be divided in two parts, 137 and 196, that added together give a palindrome (333).

The spelling of 137196 in words is "one hundred thirty-seven thousand, one hundred ninety-six".