164751121920 has 1920 divisors, whose sum is σ = 735632916480. Its totient is φ = 30656102400.

The previous prime is 164751121919. The next prime is 164751121921. The reversal of 164751121920 is 29121157461.

It is a happy number.

164751121920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164751121919) and next prime (164751121921).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164751121921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3831421419 + ... + 3831421461.

It is an arithmetic number, because the mean of its divisors is an integer number (383142144).

Almost surely, 2^164751121920 is an apocalyptic number.

164751121920 is a gapful number since it is divisible by the number (10) 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 164751121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367816458240).

164751121920 is an abundant number, since it is smaller than the sum of its proper divisors (570881794560).

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

164751121920 is a wasteful number, since it uses less digits than its factorization.

164751121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 164751121920 in words is "one hundred sixty-four billion, seven hundred fifty-one million, one hundred twenty-one thousand, nine hundred twenty".