145600756538880 has 640 divisors, whose sum is σ = 510954683057280. Its totient is φ = 35205876285440.

The previous prime is 145600756538821. The next prime is 145600756538983. The reversal of 145600756538880 is 88835657006541.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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, 1745414932 + ... + 1745498348.

It is an arithmetic number, because the mean of its divisors is an integer number (798366692277).

Almost surely, 2^{145600756538880} is an apocalyptic number.

145600756538880 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 145600756538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255477341528640).

145600756538880 is an abundant number, since it is smaller than the sum of its proper divisors (365353926518400).

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

145600756538880 is a wasteful number, since it uses less digits than its factorization.

145600756538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83950 (or 83934 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 66.

The spelling of 145600756538880 in words is "one hundred forty-five trillion, six hundred billion, seven hundred fifty-six million, five hundred thirty-eight thousand, eight hundred eighty".