152006624 has 96 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 59176320.

The previous prime is 152006599. The next prime is 152006627. The reversal of 152006624 is 426600251.

It is a junction number, because it is equal to n+sod(n) for n = 152006593 and 152006602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152006627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120107 + ... + 121365.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^152006624 is an apocalyptic number.

152006624 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 152006624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

152006624 is an abundant number, since it is smaller than the sum of its proper divisors (229017376).

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

152006624 is a wasteful number, since it uses less digits than its factorization.

152006624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 152006624 is about 12329.0966416847. The cubic root of 152006624 is about 533.6880820408.

Adding to 152006624 its reverse (426600251), we get a palindrome (578606875).

The spelling of 152006624 in words is "one hundred fifty-two million, six thousand, six hundred twenty-four".