137542 has 4 divisors (see below), whose sum is σ = 206316. Its totient is φ = 68770.

The previous prime is 137537. The next prime is 137567. The reversal of 137542 is 245731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 245731 = 71 ⋅3461.

It is a d-powerful number, because it can be written as 1 + 3¹⁰ + 5⁷ + 7³ + 4² + 2³ .

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 34384 + ... + 34387.

It is an arithmetic number, because the mean of its divisors is an integer number (51579).

2¹³⁷⁵⁴² is an apocalyptic number.

137542 is a deficient number, since it is larger than the sum of its proper divisors (68774).

137542 is an equidigital number, since it uses as much as digits as its factorization.

137542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68773.

The product of its digits is 840, while the sum is 22.

The square root of 137542 is about 370.8665528192. The cubic root of 137542 is about 51.6192604821.

The spelling of 137542 in words is "one hundred thirty-seven thousand, five hundred forty-two".