152541424 has 80 divisors (see below), whose sum is σ = 359699200. Its totient is φ = 61212672.

The previous prime is 152541413. The next prime is 152541427. The reversal of 152541424 is 424145251.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 152541392 and 152541401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152541427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206047 + ... + 206785.

It is an arithmetic number, because the mean of its divisors is an integer number (4496240).

Almost surely, 2^152541424 is an apocalyptic number.

152541424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179849600).

152541424 is an abundant number, since it is smaller than the sum of its proper divisors (207157776).

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

152541424 is a wasteful number, since it uses less digits than its factorization.

152541424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 152541424 is about 12350.7661300828. The cubic root of 152541424 is about 534.3132353131.

Adding to 152541424 its reverse (424145251), we get a palindrome (576686675).

The spelling of 152541424 in words is "one hundred fifty-two million, five hundred forty-one thousand, four hundred twenty-four".