135984964401 has 216 divisors, whose sum is σ = 256348124032. Its totient is φ = 71542310400.

The previous prime is 135984964399. The next prime is 135984964417. The reversal of 135984964401 is 104469489531.

135984964401 is a `hidden beast` number, since 1 + 3 + 598 + 4 + 9 + 6 + 4 + 40 + 1 = 666.

It is not a de Polignac number, because 135984964401 - 2¹ = 135984964399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135984964471) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 110466456 + ... + 110467686.

Almost surely, 2^135984964401 is an apocalyptic number.

135984964401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135984964401 is a deficient number, since it is larger than the sum of its proper divisors (120363159631).

135984964401 is a wasteful number, since it uses less digits than its factorization.

135984964401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 135984964401 in words is "one hundred thirty-five billion, nine hundred eighty-four million, nine hundred sixty-four thousand, four hundred one".