146662191225 has 135 divisors (see below), whose sum is σ = 290331260895. Its totient is φ = 70771932000.

The previous prime is 146662191217. The next prime is 146662191229. The reversal of 146662191225 is 522191266641.

The square root of 146662191225 is 382965.

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., 52798388841 + 93863802384 = 229779^2 + 306372^2 .

It is not a de Polignac number, because 146662191225 - 2³ = 146662191217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (146662191229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 695081370 + ... + 695081580.

Almost surely, 2^146662191225 is an apocalyptic number.

146662191225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146662191225 is the 382965-th square number.

146662191225 is the 191483-rd centered octagonal number.

It is an amenable number.

146662191225 is a deficient number, since it is larger than the sum of its proper divisors (143669069670).

146662191225 is an frugal number, since it uses more digits than its factorization.

146662191225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 230 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 146662191225 in words is "one hundred forty-six billion, six hundred sixty-two million, one hundred ninety-one thousand, two hundred twenty-five".