145011523300000 has 288 divisors, whose sum is σ = 410556141475200. Its totient is φ = 49384521600000.

The previous prime is 145011523299997. The next prime is 145011523300037. The reversal of 145011523300000 is 3325110541.

It is a happy number.

It is a super-3 number, since 3×145011523300000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 103604835 + ... + 104995165.

It is an arithmetic number, because the mean of its divisors is an integer number (1425542157900).

Almost surely, 2^{145011523300000} is an apocalyptic number.

145011523300000 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 145011523300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205278070737600).

145011523300000 is an abundant number, since it is smaller than the sum of its proper divisors (265544618175200).

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

145011523300000 is an equidigital number, since it uses as much as digits as its factorization.

145011523300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390522 (or 1390494 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 145011523300000 its reverse (3325110541), we get a palindrome (145014848410541).

The spelling of 145011523300000 in words is "one hundred forty-five trillion, eleven billion, five hundred twenty-three million, three hundred thousand".