145134310020 has 384 divisors, whose sum is σ = 495459901440. Its totient is φ = 31039303680.

The previous prime is 145134310007. The next prime is 145134310091. The reversal of 145134310020 is 20013431541.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 81398049 + ... + 81399831.

It is an arithmetic number, because the mean of its divisors is an integer number (1290260160).

Almost surely, 2^145134310020 is an apocalyptic number.

145134310020 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 145134310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247729950720).

145134310020 is an abundant number, since it is smaller than the sum of its proper divisors (350325591420).

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

145134310020 is a wasteful number, since it uses less digits than its factorization.

145134310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 145134310020 its reverse (20013431541), we get a palindrome (165147741561).

The spelling of 145134310020 in words is "one hundred forty-five billion, one hundred thirty-four million, three hundred ten thousand, twenty".