152254126305600 has 672 divisors, whose sum is σ = 596882321193600. Its totient is φ = 33541010227200.

The previous prime is 152254126305539. The next prime is 152254126305607. The reversal of 152254126305600 is 6503621452251.

152254126305600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152254126305607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23105856 + ... + 28954944.

Almost surely, 2^{152254126305600} is an apocalyptic number.

152254126305600 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 152254126305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298441160596800).

152254126305600 is an abundant number, since it is smaller than the sum of its proper divisors (444628194888000).

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

152254126305600 is a wasteful number, since it uses less digits than its factorization.

152254126305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849171 (or 5849156 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 152254126305600 its reverse (6503621452251), we get a palindrome (158757747757851).

The spelling of 152254126305600 in words is "one hundred fifty-two trillion, two hundred fifty-four billion, one hundred twenty-six million, three hundred five thousand, six hundred".