135641 has 12 divisors (see below), whose sum is σ = 159600. Its totient is φ = 114840.

The previous prime is 135637. The next prime is 135647. The reversal of 135641 is 146531.

135641 = 106² + 107² + ... + 116².

It is not a de Polignac number, because 135641 - 2² = 135637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135647) 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, 2270 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (13300).

2¹³⁵⁶⁴¹ is an apocalyptic number.

135641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135641 is a deficient number, since it is larger than the sum of its proper divisors (23959).

135641 is a wasteful number, since it uses less digits than its factorization.

135641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 135641 is about 368.2947189412. The cubic root of 135641 is about 51.3803424253.

The spelling of 135641 in words is "one hundred thirty-five thousand, six hundred forty-one".