152910860400 has 540 divisors, whose sum is σ = 568968099336. Its totient is φ = 39436761600.

The previous prime is 152910860387. The next prime is 152910860407. The reversal of 152910860400 is 4068019251.

152910860400 is a `hidden beast` number, since 1 + 529 + 10 + 86 + 0 + 40 + 0 = 666.

152910860400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152910860407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 93408382 + ... + 93410018.

Almost surely, 2^152910860400 is an apocalyptic number.

152910860400 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 152910860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284484049668).

152910860400 is an abundant number, since it is smaller than the sum of its proper divisors (416057238936).

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

152910860400 is a wasteful number, since it uses less digits than its factorization.

152910860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 152910860400 its reverse (4068019251), we get a palindrome (156978879651).

The spelling of 152910860400 in words is "one hundred fifty-two billion, nine hundred ten million, eight hundred sixty thousand, four hundred".