152008164 has 168 divisors, whose sum is σ = 497988288. Its totient is φ = 39424320.

The previous prime is 152008147. The next prime is 152008177. The reversal of 152008164 is 461800251.

152008164 is a `hidden beast` number, since 1 + 520 + 0 + 81 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 224194 + ... + 224870.

It is an arithmetic number, because the mean of its divisors is an integer number (2964216).

Almost surely, 2^152008164 is an apocalyptic number.

152008164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152008164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248994144).

152008164 is an abundant number, since it is smaller than the sum of its proper divisors (345980124).

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

152008164 is a wasteful number, since it uses less digits than its factorization.

152008164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 152008164 is about 12329.1590954128. The cubic root of 152008164 is about 533.6898843238.

The spelling of 152008164 in words is "one hundred fifty-two million, eight thousand, one hundred sixty-four".