252154412134400 has 312 divisors, whose sum is σ = 630691169614704. Its totient is φ = 99990411673600.

The previous prime is 252154412134327. The next prime is 252154412134487. The reversal of 252154412134400 is 4431214451252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5668534559 + ... + 5668579041.

Almost surely, 2^{252154412134400} is an apocalyptic number.

252154412134400 is a gapful number since it is divisible by the number (20) 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 252154412134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315345584807352).

252154412134400 is an abundant number, since it is smaller than the sum of its proper divisors (378536757480304).

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

252154412134400 is a wasteful number, since it uses less digits than its factorization.

252154412134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44995 (or 44968 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 252154412134400 its reverse (4431214451252), we get a palindrome (256585626585652).

The spelling of 252154412134400 in words is "two hundred fifty-two trillion, one hundred fifty-four billion, four hundred twelve million, one hundred thirty-four thousand, four hundred".