152430314400 has 576 divisors, whose sum is σ = 678519072000. Its totient is φ = 32160706560.

The previous prime is 152430314383. The next prime is 152430314417. The reversal of 152430314400 is 4413034251.

It is a happy number.

152430314400 is a `hidden beast` number, since 1 + 5 + 243 + 0 + 3 + 14 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (152430314383) and next prime (152430314417).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1926826 + ... + 2004374.

It is an arithmetic number, because the mean of its divisors is an integer number (1177984500).

Almost surely, 2^152430314400 is an apocalyptic number.

152430314400 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 152430314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339259536000).

152430314400 is an abundant number, since it is smaller than the sum of its proper divisors (526088757600).

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

152430314400 is a wasteful number, since it uses less digits than its factorization.

152430314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77598 (or 77579 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 152430314400 its reverse (4413034251), we get a palindrome (156843348651).

The spelling of 152430314400 in words is "one hundred fifty-two billion, four hundred thirty million, three hundred fourteen thousand, four hundred".