146808144 has 60 divisors (see below), whose sum is σ = 469556256. Its totient is φ = 41944896.

The previous prime is 146808133. The next prime is 146808187. The reversal of 146808144 is 441808641.

It is a super-2 number, since 2×146808144² = 43105262289449472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146808099 and 146808108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71814 + ... + 73829.

Almost surely, 2^146808144 is an apocalyptic number.

146808144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146808144 is an abundant number, since it is smaller than the sum of its proper divisors (322748112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146808144 is a wasteful number, since it uses less digits than its factorization.

146808144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145664 (or 145655 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 146808144 is about 12116.4410616319. The cubic root of 146808144 is about 527.5335067027.

The spelling of 146808144 in words is "one hundred forty-six million, eight hundred eight thousand, one hundred forty-four".