145882774001 has 8 divisors (see below), whose sum is σ = 147572356008. Its totient is φ = 144198000000.

The previous prime is 145882773997. The next prime is 145882774157. The reversal of 145882774001 is 100477288541.

It can be written as a sum of positive squares in 4 ways, for example, as 108159423376 + 37723350625 = 328876^2 + 194225^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 145882774001 - 2² = 145882773997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145882774201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1140950 + ... + 1262351.

It is an arithmetic number, because the mean of its divisors is an integer number (18446544501).

Almost surely, 2^145882774001 is an apocalyptic number.

It is an amenable number.

145882774001 is a deficient number, since it is larger than the sum of its proper divisors (1689582007).

145882774001 is a wasteful number, since it uses less digits than its factorization.

145882774001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404003.

The product of its (nonzero) digits is 501760, while the sum is 47.

The spelling of 145882774001 in words is "one hundred forty-five billion, eight hundred eighty-two million, seven hundred seventy-four thousand, one".