152531141213430 has 192 divisors, whose sum is σ = 473676829516800. Its totient is φ = 33296557586688.

The previous prime is 152531141213327. The next prime is 152531141213441. The reversal of 152531141213430 is 34312141135251.

152531141213430 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 3 + 1 + 1 + 4 + 1 + 213 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1131496 + ... + 17502644.

It is an arithmetic number, because the mean of its divisors is an integer number (2467066820400).

Almost surely, 2^{152531141213430} is an apocalyptic number.

152531141213430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152531141213430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236838414758400).

152531141213430 is an abundant number, since it is smaller than the sum of its proper divisors (321145688303370).

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

152531141213430 is a wasteful number, since it uses less digits than its factorization.

152531141213430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16371835 (or 16371832 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 152531141213430 its reverse (34312141135251), we get a palindrome (186843282348681).

The spelling of 152531141213430 in words is "one hundred fifty-two trillion, five hundred thirty-one billion, one hundred forty-one million, two hundred thirteen thousand, four hundred thirty".