153445316800 has 168 divisors, whose sum is σ = 382504746800. Its totient is φ = 60580638720.

The previous prime is 153445316797. The next prime is 153445316837. The reversal of 153445316800 is 8613544351.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49353646 + ... + 49356754.

Almost surely, 2^153445316800 is an apocalyptic number.

153445316800 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 153445316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191252373400).

153445316800 is an abundant number, since it is smaller than the sum of its proper divisors (229059430000).

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

153445316800 is a wasteful number, since it uses less digits than its factorization.

153445316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 153445316800 in words is "one hundred fifty-three billion, four hundred forty-five million, three hundred sixteen thousand, eight hundred".