145842761567 has 16 divisors (see below), whose sum is σ = 149572668960. Its totient is φ = 142159948800.

The previous prime is 145842761557. The next prime is 145842761573. The reversal of 145842761567 is 765167248541.

It is a cyclic number.

It is not a de Polignac number, because 145842761567 - 2⁶ = 145842761503 is a prime.

It is a super-2 number, since 2×145842761567² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145842761557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3291017 + ... + 3335037.

It is an arithmetic number, because the mean of its divisors is an integer number (9348291810).

Almost surely, 2^145842761567 is an apocalyptic number.

145842761567 is a deficient number, since it is larger than the sum of its proper divisors (3729907393).

145842761567 is a wasteful number, since it uses less digits than its factorization.

145842761567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44554.

The product of its digits is 11289600, while the sum is 56.

The spelling of 145842761567 in words is "one hundred forty-five billion, eight hundred forty-two million, seven hundred sixty-one thousand, five hundred sixty-seven".