152002145400 has 576 divisors, whose sum is σ = 573668282880. Its totient is φ = 33162393600.

The previous prime is 152002145387. The next prime is 152002145417. The reversal of 152002145400 is 4541200251.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56652459 + ... + 56655141.

It is an arithmetic number, because the mean of its divisors is an integer number (995951880).

Almost surely, 2^152002145400 is an apocalyptic number.

152002145400 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 152002145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286834141440).

152002145400 is an abundant number, since it is smaller than the sum of its proper divisors (421666137480).

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

152002145400 is a wasteful number, since it uses less digits than its factorization.

152002145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 152002145400 its reverse (4541200251), we get a palindrome (156543345651).

The spelling of 152002145400 in words is "one hundred fifty-two billion, two million, one hundred forty-five thousand, four hundred".