13500133954452 has 48 divisors (see below), whose sum is σ = 35001004792320. Its totient is φ = 4499960115456.

The previous prime is 13500133954429. The next prime is 13500133954493. The reversal of 13500133954452 is 25445933100531.

13500133954452 is a `hidden beast` number, since 1 + 3 + 50 + 0 + 1 + 3 + 3 + 9 + 544 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13500133954398 and 13500133954407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4738813 + ... + 7032539.

It is an arithmetic number, because the mean of its divisors is an integer number (729187599840).

Almost surely, 2^{13500133954452} is an apocalyptic number.

13500133954452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13500133954452 is an abundant number, since it is smaller than the sum of its proper divisors (21500870837868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13500133954452 is a wasteful number, since it uses less digits than its factorization.

13500133954452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348237 (or 2348229 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 13500133954452 in words is "thirteen trillion, five hundred billion, one hundred thirty-three million, nine hundred fifty-four thousand, four hundred fifty-two".