153305472320 has 896 divisors, whose sum is σ = 530907955200. Its totient is φ = 40562196480.

The previous prime is 153305472317. The next prime is 153305472323. The reversal of 153305472320 is 23274503351.

It is an interprime number because it is at equal distance from previous prime (153305472317) and next prime (153305472323).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153305472323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255935381 + ... + 255935979.

It is an arithmetic number, because the mean of its divisors is an integer number (592531200).

Almost surely, 2^153305472320 is an apocalyptic number.

153305472320 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 153305472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265453977600).

153305472320 is an abundant number, since it is smaller than the sum of its proper divisors (377602482880).

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

153305472320 is a wasteful number, since it uses less digits than its factorization.

153305472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

Adding to 153305472320 its reverse (23274503351), we get a palindrome (176579975671).

The spelling of 153305472320 in words is "one hundred fifty-three billion, three hundred five million, four hundred seventy-two thousand, three hundred twenty".