152520432 has 80 divisors (see below), whose sum is σ = 404974080. Its totient is φ = 49444096.

The previous prime is 152520427. The next prime is 152520437. The reversal of 152520432 is 234025251.

It is an interprime number because it is at equal distance from previous prime (152520427) and next prime (152520437).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152520437) 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, 424669 + ... + 425027.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2^152520432 is an apocalyptic number.

152520432 is a gapful number since it is divisible by the number (12) 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 152520432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

152520432 is an abundant number, since it is smaller than the sum of its proper divisors (252453648).

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

152520432 is a wasteful number, since it uses less digits than its factorization.

152520432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 152520432 is about 12349.9162750198. The cubic root of 152520432 is about 534.2887243362.

Adding to 152520432 its reverse (234025251), we get a palindrome (386545683).

The spelling of 152520432 in words is "one hundred fifty-two million, five hundred twenty thousand, four hundred thirty-two".