153203515040 has 48 divisors (see below), whose sum is σ = 361990739880. Its totient is φ = 61273374720.

The previous prime is 153203515037. The next prime is 153203515067. The reversal of 153203515040 is 40515302351.

153203515040 is digitally balanced in base 3, 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 4 ways, for example, as 67356859024 + 85846656016 = 259532^2 + 292996^2 .

It is a super-2 number, since 2×153203515040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153203514994 and 153203515012.

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 7 ways as a sum of consecutive naturals, for example, 1247096 + ... + 1364424.

Almost surely, 2^153203515040 is an apocalyptic number.

153203515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153203515040 is an abundant number, since it is smaller than the sum of its proper divisors (208787224840).

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

153203515040 is a wasteful number, since it uses less digits than its factorization.

153203515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125505 (or 125497 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 153203515040 its reverse (40515302351), we get a palindrome (193718817391).

The spelling of 153203515040 in words is "one hundred fifty-three billion, two hundred three million, five hundred fifteen thousand, forty".