153225006224640 has 216 divisors, whose sum is σ = 569258260431840. Its totient is φ = 35022858522624.

The previous prime is 153225006224621. The next prime is 153225006224699. The reversal of 153225006224640 is 46422600522351.

153225006224640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153225006224640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 153225006224592 and 153225006224601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406978630 + ... + 407354949.

Almost surely, 2^{153225006224640} is an apocalyptic number.

153225006224640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153225006224640 is an abundant number, since it is smaller than the sum of its proper divisors (416033254207200).

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

153225006224640 is an equidigital number, since it uses as much as digits as its factorization.

153225006224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814333617 (or 814333596 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 153225006224640 its reverse (46422600522351), we get a palindrome (199647606746991).

The spelling of 153225006224640 in words is "one hundred fifty-three trillion, two hundred twenty-five billion, six million, two hundred twenty-four thousand, six hundred forty".