153032256000 has 960 divisors, whose sum is σ = 602277451776. Its totient is φ = 37122048000.

The previous prime is 153032255969. The next prime is 153032256007. The reversal of 153032256000 is 652230351.

153032256000 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 32 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (153032256007) 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, 801215905 + ... + 801216095.

Almost surely, 2^153032256000 is an apocalyptic number.

153032256000 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 153032256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301138725888).

153032256000 is an abundant number, since it is smaller than the sum of its proper divisors (449245195776).

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

153032256000 is a wasteful number, since it uses less digits than its factorization.

153032256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 153032256000 its reverse (652230351), we get a palindrome (153684486351).

The spelling of 153032256000 in words is "one hundred fifty-three billion, thirty-two million, two hundred fifty-six thousand".