164785152 has 176 divisors, whose sum is σ = 513551360. Its totient is φ = 46006272.

The previous prime is 164785151. The next prime is 164785169. The reversal of 164785152 is 251587461.

It is a self number, because there is not a number n which added to its sum of digits gives 164785152.

It is not an unprimeable number, because it can be changed into a prime (164785151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698768 + ... + 1698864.

Almost surely, 2^164785152 is an apocalyptic number.

164785152 is a gapful number since it is divisible by the number (12) 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 164785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256775680).

164785152 is an abundant number, since it is smaller than the sum of its proper divisors (348766208).

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

164785152 is an equidigital number, since it uses as much as digits as its factorization.

164785152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 164785152 is about 12836.8669074662. The cubic root of 164785152 is about 548.2424912924.

The spelling of 164785152 in words is "one hundred sixty-four million, seven hundred eighty-five thousand, one hundred fifty-two".