152314302400 has 168 divisors, whose sum is σ = 407620098144. Its totient is φ = 55681536000.

The previous prime is 152314302377. The next prime is 152314302401. The reversal of 152314302400 is 4203413251.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152314302401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2064549 + ... + 2137051.

It is an arithmetic number, because the mean of its divisors is an integer number (2426310108).

Almost surely, 2^152314302400 is an apocalyptic number.

152314302400 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 152314302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203810049072).

152314302400 is an abundant number, since it is smaller than the sum of its proper divisors (255305795744).

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

152314302400 is a wasteful number, since it uses less digits than its factorization.

152314302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72639 (or 72624 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 152314302400 its reverse (4203413251), we get a palindrome (156517715651).

The spelling of 152314302400 in words is "one hundred fifty-two billion, three hundred fourteen million, three hundred two thousand, four hundred".