164507112 has 288 divisors, whose sum is σ = 590073120. Its totient is φ = 42456960.

The previous prime is 164507107. The next prime is 164507137. The reversal of 164507112 is 211705461.

It is a happy number.

164507112 is a `hidden beast` number, since 1 + 645 + 0 + 7 + 1 + 12 = 666.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047738 + ... + 1047894.

It is an arithmetic number, because the mean of its divisors is an integer number (2048865).

Almost surely, 2^164507112 is an apocalyptic number.

164507112 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 164507112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295036560).

164507112 is an abundant number, since it is smaller than the sum of its proper divisors (425566008).

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

164507112 is a wasteful number, since it uses less digits than its factorization.

164507112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 164507112 is about 12826.0325900101. The cubic root of 164507112 is about 547.9339700576.

The spelling of 164507112 in words is "one hundred sixty-four million, five hundred seven thousand, one hundred twelve".