164938752 has 132 divisors (see below), whose sum is σ = 519872496. Its totient is φ = 49950720.

The previous prime is 164938733. The next prime is 164938769. The reversal of 164938752 is 257839461.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×164938752² = 54409583822635008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164938698 and 164938707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100563 + ... + 102189.

It is an arithmetic number, because the mean of its divisors is an integer number (3938428).

Almost surely, 2^164938752 is an apocalyptic number.

164938752 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 164938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259936248).

164938752 is an abundant number, since it is smaller than the sum of its proper divisors (354933744).

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

164938752 is a wasteful number, since it uses less digits than its factorization.

164938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1643 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 164938752 is about 12842.8482822153. The cubic root of 164938752 is about 548.4127815046.

It can be divided in two parts, 1649 and 38752, that added together give a square (40401 = 201²).

The spelling of 164938752 in words is "one hundred sixty-four million, nine hundred thirty-eight thousand, seven hundred fifty-two".