145688333033760 has 384 divisors, whose sum is σ = 504311884876800. Its totient is φ = 35059282513920.

The previous prime is 145688333033759. The next prime is 145688333033773. The reversal of 145688333033760 is 67330333886541.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 145688333033694 and 145688333033703.

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, 9186468711 + ... + 9186484569.

It is an arithmetic number, because the mean of its divisors is an integer number (1313312200200).

Almost surely, 2^{145688333033760} is an apocalyptic number.

145688333033760 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 145688333033760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252155942438400).

145688333033760 is an abundant number, since it is smaller than the sum of its proper divisors (358623551843040).

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

145688333033760 is a wasteful number, since it uses less digits than its factorization.

145688333033760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28544 (or 28536 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 60.

The spelling of 145688333033760 in words is "one hundred forty-five trillion, six hundred eighty-eight billion, three hundred thirty-three million, thirty-three thousand, seven hundred sixty".