135142641 has 32 divisors (see below), whose sum is σ = 209952000. Its totient is φ = 85751424.

The previous prime is 135142619. The next prime is 135142661. The reversal of 135142641 is 146241531.

It is a happy number.

135142641 is a `hidden beast` number, since 1 + 3 + 5 + 14 + 2 + 641 = 666.

It is not a de Polignac number, because 135142641 - 2⁶ = 135142577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135142661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166645 + ... + 167453.

It is an arithmetic number, because the mean of its divisors is an integer number (6561000).

Almost surely, 2^135142641 is an apocalyptic number.

It is an amenable number.

135142641 is a deficient number, since it is larger than the sum of its proper divisors (74809359).

135142641 is a wasteful number, since it uses less digits than its factorization.

135142641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 135142641 is about 11625.0867093540. The cubic root of 135142641 is about 513.1733964648.

The spelling of 135142641 in words is "one hundred thirty-five million, one hundred forty-two thousand, six hundred forty-one".