153413303450220 has 480 divisors, whose sum is σ = 563727240147456. Its totient is φ = 34510381516800.

The previous prime is 153413303450219. The next prime is 153413303450221. The reversal of 153413303450220 is 22054303314351.

153413303450220 is a `hidden beast` number, since 1 + 5 + 341 + 3 + 303 + 4 + 5 + 0 + 2 + 2 + 0 = 666.

153413303450220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (153413303450219) and next prime (153413303450221).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (153413303450221) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17942439 + ... + 25075041.

Almost surely, 2^{153413303450220} is an apocalyptic number.

153413303450220 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 153413303450220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281863620073728).

153413303450220 is an abundant number, since it is smaller than the sum of its proper divisors (410313936697236).

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

153413303450220 is a wasteful number, since it uses less digits than its factorization.

153413303450220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7132723 (or 7132712 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 153413303450220 its reverse (22054303314351), we get a palindrome (175467606764571).

The spelling of 153413303450220 in words is "one hundred fifty-three trillion, four hundred thirteen billion, three hundred three million, four hundred fifty thousand, two hundred twenty".