152668000 has 48 divisors (see below), whose sum is σ = 375115104. Its totient is φ = 61065600.

The previous prime is 152667979. The next prime is 152668001. The reversal of 152668000 is 866251.

It is a self number, because there is not a number n which added to its sum of digits gives 152668000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152668001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15084 + ... + 23083.

It is an arithmetic number, because the mean of its divisors is an integer number (7814898).

Almost surely, 2^152668000 is an apocalyptic number.

152668000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152668000 is an abundant number, since it is smaller than the sum of its proper divisors (222447104).

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

152668000 is an equidigital number, since it uses as much as digits as its factorization.

152668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38192 (or 38174 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 152668000 is about 12355.8892840621. The cubic root of 152668000 is about 534.4609821405.

The spelling of 152668000 in words is "one hundred fifty-two million, six hundred sixty-eight thousand".