152485344 has 144 divisors (see below), whose sum is σ = 478033920. Its totient is φ = 45722880.

The previous prime is 152485337. The next prime is 152485349. The reversal of 152485344 is 443584251.

It is a happy number.

152485344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 152485299 and 152485308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152485349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402147 + ... + 402525.

It is an arithmetic number, because the mean of its divisors is an integer number (3319680).

Almost surely, 2^152485344 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 152485344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239016960).

152485344 is an abundant number, since it is smaller than the sum of its proper divisors (325548576).

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

152485344 is a wasteful number, since it uses less digits than its factorization.

152485344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 152485344 is about 12348.4956168758. The cubic root of 152485344 is about 534.2477493658.

It can be divided in two parts, 1524 and 85344, that multiplied together give a triangular number (130064256 = T₁₆₁₂₈).

The spelling of 152485344 in words is "one hundred fifty-two million, four hundred eighty-five thousand, three hundred forty-four".