152481441384 has 192 divisors, whose sum is σ = 457127193600. Its totient is φ = 46931549184.

The previous prime is 152481441289. The next prime is 152481441407. The reversal of 152481441384 is 483144184251.

152481441384 is a `hidden beast` number, since 1 + 52 + 4 + 81 + 441 + 3 + 84 = 666.

It is a super-3 number, since 3×152481441384³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10307257 + ... + 10322039.

It is an arithmetic number, because the mean of its divisors is an integer number (2380870800).

Almost surely, 2^152481441384 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 152481441384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228563596800).

152481441384 is an abundant number, since it is smaller than the sum of its proper divisors (304645752216).

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

152481441384 is a wasteful number, since it uses less digits than its factorization.

152481441384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14921 (or 14858 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 152481441384 in words is "one hundred fifty-two billion, four hundred eighty-one million, four hundred forty-one thousand, three hundred eighty-four".