145892677681 has 9 divisors (see below), whose sum is σ = 151108407723. Its totient is φ = 140851200840.

The previous prime is 145892677669. The next prime is 145892677699. The reversal of 145892677681 is 186776298541.

The square root of 145892677681 is 381959.

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

145892677681 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 only one way, i.e., 76502581281 + 69390096400 = 276591^2 + 263420^2 .

It is not a de Polignac number, because 145892677681 - 2⁵ = 145892677649 is a prime.

It is a super-2 number, since 2×145892677681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145892677661) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 11070226 + ... + 11083396.

Almost surely, 2^145892677681 is an apocalyptic number.

145892677681 is the 381959-th square number.

145892677681 is the 190980-th centered octagonal number.

It is an amenable number.

145892677681 is a deficient number, since it is larger than the sum of its proper divisors (5215730042).

145892677681 is an frugal number, since it uses more digits than its factorization.

145892677681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26400 (or 13200 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 64.

Multiplying 145892677681 by its sum of digits (64), we get a square (9337131371584 = 3055672²).

The spelling of 145892677681 in words is "one hundred forty-five billion, eight hundred ninety-two million, six hundred seventy-seven thousand, six hundred eighty-one".