145598539129344 has 640 divisors, whose sum is σ = 495601879449600. Its totient is φ = 41342306549760.

The previous prime is 145598539129321. The next prime is 145598539129411. The reversal of 145598539129344 is 443921935895541.

145598539129344 is a `hidden beast` number, since 1 + 4 + 5 + 59 + 8 + 539 + 1 + 2 + 9 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23269701064 + ... + 23269707320.

It is an arithmetic number, because the mean of its divisors is an integer number (774377936640).

Almost surely, 2^{145598539129344} is an apocalyptic number.

145598539129344 is a gapful number since it is divisible by the number (14) 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 145598539129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247800939724800).

145598539129344 is an abundant number, since it is smaller than the sum of its proper divisors (350003340320256).

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

145598539129344 is a wasteful number, since it uses less digits than its factorization.

145598539129344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741 (or 7719 counting only the distinct ones).

The product of its digits is 839808000, while the sum is 72.

The spelling of 145598539129344 in words is "one hundred forty-five trillion, five hundred ninety-eight billion, five hundred thirty-nine million, one hundred twenty-nine thousand, three hundred forty-four".