152412520 has 64 divisors (see below), whose sum is σ = 372834000. Its totient is φ = 55738368.

The previous prime is 152412503. The next prime is 152412529. The reversal of 152412520 is 25214251.

It can be written as a sum of positive squares in 8 ways, for example, as 15382084 + 137030436 = 3922^2 + 11706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152412491 and 152412500.

It is not an unprimeable number, because it can be changed into a prime (152412529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55336 + ... + 58024.

Almost surely, 2^152412520 is an apocalyptic number.

152412520 is a gapful number since it is divisible by the number (10) 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 152412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186417000).

152412520 is an abundant number, since it is smaller than the sum of its proper divisors (220421480).

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

152412520 is a wasteful number, since it uses less digits than its factorization.

152412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 152412520 is about 12345.5465654624. The cubic root of 152412520 is about 534.1626870852.

Adding to 152412520 its reverse (25214251), we get a palindrome (177626771).

The spelling of 152412520 in words is "one hundred fifty-two million, four hundred twelve thousand, five hundred twenty".