153200464000 has 256 divisors, whose sum is σ = 404533958400. Its totient is φ = 57499238400.

The previous prime is 153200463991. The next prime is 153200464007. The reversal of 153200464000 is 464002351.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (153200464007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119407359 + ... + 119408641.

It is an arithmetic number, because the mean of its divisors is an integer number (1580210775).

Almost surely, 2^153200464000 is an apocalyptic number.

153200464000 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 153200464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202266979200).

153200464000 is an abundant number, since it is smaller than the sum of its proper divisors (251333494400).

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

153200464000 is a wasteful number, since it uses less digits than its factorization.

153200464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 153200464000 its reverse (464002351), we get a palindrome (153664466351).

The spelling of 153200464000 in words is "one hundred fifty-three billion, two hundred million, four hundred sixty-four thousand".