145115300000000 has 972 divisors, whose sum is σ = 406184909220720. Its totient is φ = 51691200000000.

The previous prime is 145115299999991. The next prime is 145115300000009. The reversal of 145115300000000 is 3511541.

It is an interprime number because it is at equal distance from previous prime (145115299999991) and next prime (145115300000009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (145115300000009) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 810699999911 + ... + 810700000089.

Almost surely, 2^{145115300000000} is an apocalyptic number.

145115300000000 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 145115300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203092454610360).

145115300000000 is an abundant number, since it is smaller than the sum of its proper divisors (261069609220720).

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

145115300000000 is an frugal number, since it uses more digits than its factorization.

145115300000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 145115300000000 its reverse (3511541), we get a palindrome (145115303511541).

The spelling of 145115300000000 in words is "one hundred forty-five trillion, one hundred fifteen billion, three hundred million", and thus it is an aban number.