145871288761 has 9 divisors (see below), whose sum is σ = 160342480879. Its totient is φ = 132606443200.

The previous prime is 145871288749. The next prime is 145871288777. The reversal of 145871288761 is 167882178541.

The square root of 145871288761 is 381931.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 85158328761 + 60712960000 = 291819^2 + 246400^2 .

It is not a de Polignac number, because 145871288761 - 2¹¹ = 145871286713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145871288696 and 145871288705.

It is not an unprimeable number, because it can be changed into a prime (145871288701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4183881 + ... + 4218601.

Almost surely, 2^145871288761 is an apocalyptic number.

145871288761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145871288761 is the 381931-st square number.

145871288761 is the 190966-th centered octagonal number.

It is an amenable number.

145871288761 is a deficient number, since it is larger than the sum of its proper divisors (14471192118).

145871288761 is an frugal number, since it uses more digits than its factorization.

145871288761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69464 (or 34732 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 58.

The spelling of 145871288761 in words is "one hundred forty-five billion, eight hundred seventy-one million, two hundred eighty-eight thousand, seven hundred sixty-one".