146359039761 has 27 divisors (see below), whose sum is σ = 232393581147. Its totient is φ = 88694796960.

The previous prime is 146359039741. The next prime is 146359039763. The reversal of 146359039761 is 167930953641.

The square root of 146359039761 is 382569.

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

146359039761 is a `hidden beast` number, since 1 + 46 + 3 + 590 + 3 + 9 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139177494225 + 7181545536 = 373065^2 + 84744^2 .

It is not a de Polignac number, because 146359039761 - 2³³ = 137769105169 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146359039698 and 146359039707.

It is not an unprimeable number, because it can be changed into a prime (146359039763) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12618981 + ... + 12630573.

Almost surely, 2^146359039761 is an apocalyptic number.

146359039761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

146359039761 is the 382569-th square number.

146359039761 is the 191285-th centered octagonal number.

It is an amenable number.

146359039761 is a deficient number, since it is larger than the sum of its proper divisors (86034541386).

146359039761 is an frugal number, since it uses more digits than its factorization.

146359039761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23214 (or 11607 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 146359039761 in words is "one hundred forty-six billion, three hundred fifty-nine million, thirty-nine thousand, seven hundred sixty-one".