153280512000 has 1632 divisors, whose sum is σ = 714502623744. Its totient is φ = 31850496000.

The previous prime is 153280511999. The next prime is 153280512029. The reversal of 153280512000 is 215082351.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 11! ⋅ 5! ⋅ (2!)⁵.

153280512000 is a `hidden beast` number, since 1 + 532 + 8 + 0 + 5 + 120 + 0 + 0 = 666.

153280512000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13934591995 + ... + 13934592005.

Almost surely, 2^153280512000 is an apocalyptic number.

153280512000 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 153280512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357251311872).

153280512000 is an abundant number, since it is smaller than the sum of its proper divisors (561222111744).

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

153280512000 is an frugal number, since it uses more digits than its factorization.

153280512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 153280512000 its reverse (215082351), we get a palindrome (153495594351).

The spelling of 153280512000 in words is "one hundred fifty-three billion, two hundred eighty million, five hundred twelve thousand".