145762743645 has 40 divisors (see below), whose sum is σ = 270303347160. Its totient is φ = 75059429760.

The previous prime is 145762743613. The next prime is 145762743661. The reversal of 145762743645 is 546347267541.

145762743645 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 6 + 274 + 364 + 5 = 666.

145762743645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20110926969 + 125651816676 = 141813^2 + 354474^2 .

It is not a de Polignac number, because 145762743645 - 2⁵ = 145762743613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145762743591 and 145762743600.

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 39 ways as a sum of consecutive naturals, for example, 6193566 + ... + 6217055.

It is an arithmetic number, because the mean of its divisors is an integer number (6757583679).

Almost surely, 2^145762743645 is an apocalyptic number.

145762743645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145762743645 is a deficient number, since it is larger than the sum of its proper divisors (124540603515).

145762743645 is a wasteful number, since it uses less digits than its factorization.

145762743645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12410667 (or 12410658 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 145762743645 in words is "one hundred forty-five billion, seven hundred sixty-two million, seven hundred forty-three thousand, six hundred forty-five".