146486688 has 48 divisors (see below), whose sum is σ = 407151360. Its totient is φ = 45956096.

The previous prime is 146486677. The next prime is 146486707. The reversal of 146486688 is 886684641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×146486688² = 42916699522418688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 146486688.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43248 + ... + 46511.

It is an arithmetic number, because the mean of its divisors is an integer number (8482320).

Almost surely, 2^146486688 is an apocalyptic number.

It is an amenable number.

146486688 is an abundant number, since it is smaller than the sum of its proper divisors (260664672).

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

146486688 is a wasteful number, since it uses less digits than its factorization.

146486688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89789 (or 89781 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 146486688 is about 12103.1685107661. The cubic root of 146486688 is about 527.1481903551.

The spelling of 146486688 in words is "one hundred forty-six million, four hundred eighty-six thousand, six hundred eighty-eight".