152505600 has 324 divisors, whose sum is σ = 556589376. Its totient is φ = 36741120.

The previous prime is 152505583. The next prime is 152505607. The reversal of 152505600 is 6505251.

152505600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (152505607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3244777 + ... + 3244823.

Almost surely, 2^152505600 is an apocalyptic number.

152505600 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 152505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278294688).

152505600 is an abundant number, since it is smaller than the sum of its proper divisors (404083776).

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

152505600 is a wasteful number, since it uses less digits than its factorization.

152505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 152505600 is about 12349.3157705194. The cubic root of 152505600 is about 534.2714046299.

The spelling of 152505600 in words is "one hundred fifty-two million, five hundred five thousand, six hundred".