135000616401 has 96 divisors (see below), whose sum is σ = 237010475520. Its totient is φ = 72406656000.

The previous prime is 135000616363. The next prime is 135000616411. The reversal of 135000616401 is 104616000531.

135000616401 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 0 + 0 + 616 + 40 + 1 = 666.

It is not a de Polignac number, because 135000616401 - 2⁶ = 135000616337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135000616411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21944676 + ... + 21950826.

It is an arithmetic number, because the mean of its divisors is an integer number (2468859120).

Almost surely, 2^135000616401 is an apocalyptic number.

It is an amenable number.

135000616401 is a deficient number, since it is larger than the sum of its proper divisors (102009859119).

135000616401 is a wasteful number, since it uses less digits than its factorization.

135000616401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6527 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 135000616401 its reverse (104616000531), we get a palindrome (239616616932).

The spelling of 135000616401 in words is "one hundred thirty-five billion, six hundred sixteen thousand, four hundred one".