146242629 has 18 divisors (see below), whose sum is σ = 228740850. Its totient is φ = 89994528.

The previous prime is 146242627. The next prime is 146242631. The reversal of 146242629 is 926242641.

146242629 = 482² + 483² + ... + 819².

146242629 is a `hidden beast` number, since 1 + 4 + 6 + 24 + 2 + 629 = 666.

It is an interprime number because it is at equal distance from previous prime (146242627) and next prime (146242631).

It can be written as a sum of positive squares in 3 ways, for example, as 19342404 + 126900225 = 4398^2 + 11265^2 .

It is not a de Polignac number, because 146242629 - 2¹ = 146242627 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 146242593 and 146242602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146242627) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46554 + ... + 49595.

It is an arithmetic number, because the mean of its divisors is an integer number (12707825).

Almost surely, 2^146242629 is an apocalyptic number.

It is an amenable number.

146242629 is a deficient number, since it is larger than the sum of its proper divisors (82498221).

146242629 is a wasteful number, since it uses less digits than its factorization.

146242629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96181 (or 96165 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 146242629 is about 12093.0818652649. The cubic root of 146242629 is about 526.8552700489.

The spelling of 146242629 in words is "one hundred forty-six million, two hundred forty-two thousand, six hundred twenty-nine".