146800467 has 36 divisors (see below), whose sum is σ = 243249552. Its totient is φ = 85087200.

The previous prime is 146800463. The next prime is 146800471. The reversal of 146800467 is 764008641.

It is an interprime number because it is at equal distance from previous prime (146800463) and next prime (146800471).

It is not a de Polignac number, because 146800467 - 2² = 146800463 is a prime.

It is a super-2 number, since 2×146800467² = 43100754222836178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146800463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22117 + ... + 27977.

It is an arithmetic number, because the mean of its divisors is an integer number (6756932).

Almost surely, 2^146800467 is an apocalyptic number.

146800467 is a deficient number, since it is larger than the sum of its proper divisors (96449085).

146800467 is a wasteful number, since it uses less digits than its factorization.

146800467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5912 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 146800467 is about 12116.1242565434. The cubic root of 146800467 is about 527.5243111517.

The spelling of 146800467 in words is "one hundred forty-six million, eight hundred thousand, four hundred sixty-seven".