145213582761 has 45 divisors (see below), whose sum is σ = 234966170901. Its totient is φ = 89334767808.

The previous prime is 145213582747. The next prime is 145213582777. The reversal of 145213582761 is 167285312541.

The square root of 145213582761 is 381069.

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

145213582761 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 1 + 3 + 582 + 7 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6859161 + 145206723600 = 2619^2 + 381060^2 .

It is not a de Polignac number, because 145213582761 - 2¹⁷ = 145213451689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145213582781) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44583445 + ... + 44586701.

Almost surely, 2^145213582761 is an apocalyptic number.

145213582761 is the 381069-th square number.

145213582761 is the 190535-th centered octagonal number.

It is an amenable number.

145213582761 is a deficient number, since it is larger than the sum of its proper divisors (89752588140).

145213582761 is an frugal number, since it uses more digits than its factorization.

145213582761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6552 (or 3273 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 145213582761 in words is "one hundred forty-five billion, two hundred thirteen million, five hundred eighty-two thousand, seven hundred sixty-one".