152427024144 has 120 divisors (see below), whose sum is σ = 430610980800. Its totient is φ = 50331006720.

The previous prime is 152427024121. The next prime is 152427024151. The reversal of 152427024144 is 441420724251.

152427024144 is a `hidden beast` number, since 1 + 524 + 2 + 70 + 24 + 1 + 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 = 152427024099 and 152427024108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9219117 + ... + 9235635.

It is an arithmetic number, because the mean of its divisors is an integer number (3588424840).

Almost surely, 2^152427024144 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 152427024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215305490400).

152427024144 is an abundant number, since it is smaller than the sum of its proper divisors (278183956656).

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

152427024144 is a wasteful number, since it uses less digits than its factorization.

152427024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17133 (or 17124 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 152427024144 its reverse (441420724251), we get a palindrome (593847748395).

The spelling of 152427024144 in words is "one hundred fifty-two billion, four hundred twenty-seven million, twenty-four thousand, one hundred forty-four".