137396 has 18 divisors (see below), whose sum is σ = 280098. Its totient is φ = 58800.

The previous prime is 137393. The next prime is 137399. The reversal of 137396 is 693731.

137396 = T₂₁₁ + T₂₁₂ + ... + T₂₁₆.

It is an interprime number because it is at equal distance from previous prime (137393) and next prime (137399).

It can be written as a sum of positive squares in only one way, i.e., 132496 + 4900 = 364^2 + 70^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137393) 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, 155 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2¹³⁷³⁹⁶ is an apocalyptic number.

It is an amenable number.

137396 is an abundant number, since it is smaller than the sum of its proper divisors (142702).

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

137396 is a wasteful number, since it uses less digits than its factorization.

137396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 710 counting only the distinct ones).

The product of its digits is 3402, while the sum is 29.

The square root of 137396 is about 370.6696642565. The cubic root of 137396 is about 51.6009895049.

The spelling of 137396 in words is "one hundred thirty-seven thousand, three hundred ninety-six".