5133151530144 has 288 divisors, whose sum is σ = 16098125307264. Its totient is φ = 1538626467840.

The previous prime is 5133151530131. The next prime is 5133151530149. The reversal of 5133151530144 is 4410351513315.

5133151530144 is a `hidden beast` number, since 5 + 1 + 3 + 31 + 51 + 530 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5133151530099 and 5133151530108.

It is not an unprimeable number, because it can be changed into a prime (5133151530149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107944837 + ... + 107992379.

It is an arithmetic number, because the mean of its divisors is an integer number (55896268428).

Almost surely, 2^{5133151530144} 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 5133151530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049062653632).

5133151530144 is an abundant number, since it is smaller than the sum of its proper divisors (10964973777120).

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

5133151530144 is a wasteful number, since it uses less digits than its factorization.

5133151530144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47940 (or 47929 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

It can be divided in two parts, 5133151 and 530144, that added together give a triangular number (5663295 = T₃₃₆₅).

The spelling of 5133151530144 in words is "five trillion, one hundred thirty-three billion, one hundred fifty-one million, five hundred thirty thousand, one hundred forty-four".