145304406765 has 160 divisors (see below), whose sum is σ = 326064372480. Its totient is φ = 60361168896.

The previous prime is 145304406733. The next prime is 145304406787. The reversal of 145304406765 is 567604403541.

145304406765 is a `hidden beast` number, since 1 + 4 + 530 + 4 + 40 + 6 + 76 + 5 = 666.

145304406765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145304406765 - 2⁵ = 145304406733 is a prime.

It is a super-2 number, since 2×145304406765² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 145304406765.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1345674 + ... + 1449636.

It is an arithmetic number, because the mean of its divisors is an integer number (2037902328).

Almost surely, 2^145304406765 is an apocalyptic number.

145304406765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145304406765 is an abundant number, since it is smaller than the sum of its proper divisors (180759965715).

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

145304406765 is a wasteful number, since it uses less digits than its factorization.

145304406765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104033 (or 104024 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 145304406765 in words is "one hundred forty-five billion, three hundred four million, four hundred six thousand, seven hundred sixty-five".