145760763343760 has 40 divisors (see below), whose sum is σ = 347159476605816. Its totient is φ = 56882249108480.

The previous prime is 145760763343757. The next prime is 145760763343823. The reversal of 145760763343760 is 67343367067541.

It can be written as a sum of positive squares in 4 ways, for example, as 16339833569536 + 129420929774224 = 4042256^2 + 11376332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 145760763343693 and 145760763343702.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22219625279 + ... + 22219631838.

Almost surely, 2^{145760763343760} is an apocalyptic number.

145760763343760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145760763343760 is an abundant number, since it is smaller than the sum of its proper divisors (201398713262056).

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

145760763343760 is a wasteful number, since it uses less digits than its factorization.

145760763343760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44439257171 (or 44439257165 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 62.

The spelling of 145760763343760 in words is "one hundred forty-five trillion, seven hundred sixty billion, seven hundred sixty-three million, three hundred forty-three thousand, seven hundred sixty".