145610133320 has 128 divisors (see below), whose sum is σ = 360004111200. Its totient is φ = 52758429696.

The previous prime is 145610133271. The next prime is 145610133343. The reversal of 145610133320 is 23331016541.

It can be written as a sum of positive squares in 16 ways, for example, as 1342343044 + 144267790276 = 36638^2 + 379826^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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 31 ways as a sum of consecutive naturals, for example, 6239594 + ... + 6262886.

Almost surely, 2^145610133320 is an apocalyptic number.

145610133320 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 145610133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180002055600).

145610133320 is an abundant number, since it is smaller than the sum of its proper divisors (214393977880).

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

145610133320 is a wasteful number, since it uses less digits than its factorization.

145610133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23667 (or 23663 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 145610133320 its reverse (23331016541), we get a palindrome (168941149861).

The spelling of 145610133320 in words is "one hundred forty-five billion, six hundred ten million, one hundred thirty-three thousand, three hundred twenty".