153126352000 has 128 divisors (see below), whose sum is σ = 381206807280. Its totient is φ = 61170688000.

The previous prime is 153126351991. The next prime is 153126352039. The reversal of 153126352000 is 253621351.

It can be written as a sum of positive squares in 8 ways, for example, as 5061468736 + 148064883264 = 71144^2 + 384792^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 153126352000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13130172 + ... + 13141828.

Almost surely, 2^153126352000 is an apocalyptic number.

153126352000 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 153126352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190603403640).

153126352000 is an abundant number, since it is smaller than the sum of its proper divisors (228080455280).

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

153126352000 is an equidigital number, since it uses as much as digits as its factorization.

153126352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 153126352000 its reverse (253621351), we get a palindrome (153379973351).

The spelling of 153126352000 in words is "one hundred fifty-three billion, one hundred twenty-six million, three hundred fifty-two thousand".