152334144 has 168 divisors, whose sum is σ = 473586048. Its totient is φ = 46632960.

The previous prime is 152334139. The next prime is 152334157. The reversal of 152334144 is 441433251.

It is a happy number.

152334144 is a `hidden beast` number, since 15 + 233 + 414 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460059 + ... + 460389.

Almost surely, 2^152334144 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 152334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236793024).

152334144 is an abundant number, since it is smaller than the sum of its proper divisors (321251904).

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

152334144 is a wasteful number, since it uses less digits than its factorization.

152334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 400 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 152334144 is about 12342.3718952234. The cubic root of 152334144 is about 534.0711094968.

Adding to 152334144 its reverse (441433251), we get a palindrome (593767395).

It can be divided in two parts, 1523341 and 44, that added together give a triangular number (1523385 = T₁₇₄₅).

The spelling of 152334144 in words is "one hundred fifty-two million, three hundred thirty-four thousand, one hundred forty-four".