145946291760 has 120 divisors (see below), whose sum is σ = 498171467664. Its totient is φ = 38280983040.

The previous prime is 145946291753. The next prime is 145946291789. The reversal of 145946291760 is 67192649541.

145946291760 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 4 + 629 + 1 + 7 + 6 + 0 = 666.

145946291760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 145946291697 and 145946291706.

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 23 ways as a sum of consecutive naturals, for example, 1617582 + ... + 1705421.

Almost surely, 2^145946291760 is an apocalyptic number.

145946291760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145946291760 is an abundant number, since it is smaller than the sum of its proper divisors (352225175904).

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

145946291760 is a wasteful number, since it uses less digits than its factorization.

145946291760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323083 (or 3323074 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 145946291760 in words is "one hundred forty-five billion, nine hundred forty-six million, two hundred ninety-one thousand, seven hundred sixty".