153150445520 has 80 divisors (see below), whose sum is σ = 365127536592. Its totient is φ = 59705733120.

The previous prime is 153150445453. The next prime is 153150445523. The reversal of 153150445520 is 25544051351.

153150445520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 67760254864 + 85390190656 = 260308^2 + 292216^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153150445523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3299594 + ... + 3345686.

Almost surely, 2^153150445520 is an apocalyptic number.

153150445520 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 153150445520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182563768296).

153150445520 is an abundant number, since it is smaller than the sum of its proper divisors (211977091072).

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

153150445520 is a wasteful number, since it uses less digits than its factorization.

153150445520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47160 (or 47154 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 153150445520 its reverse (25544051351), we get a palindrome (178694496871).

The spelling of 153150445520 in words is "one hundred fifty-three billion, one hundred fifty million, four hundred forty-five thousand, five hundred twenty".