13428252144 has 160 divisors (see below), whose sum is σ = 40540262400. Its totient is φ = 4249739520.

The previous prime is 13428252139. The next prime is 13428252199. The reversal of 13428252144 is 44125282431.

13428252144 is a `hidden beast` number, since 13 + 4 + 2 + 82 + 521 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13428252099 and 13428252108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700317 + ... + 719235.

It is an arithmetic number, because the mean of its divisors is an integer number (253376640).

Almost surely, 2^13428252144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13428252144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270131200).

13428252144 is an abundant number, since it is smaller than the sum of its proper divisors (27112010256).

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

13428252144 is a wasteful number, since it uses less digits than its factorization.

13428252144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19020 (or 19008 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 13428252144 in words is "thirteen billion, four hundred twenty-eight million, two hundred fifty-two thousand, one hundred forty-four".