146772096 has 64 divisors (see below), whose sum is σ = 391435200. Its totient is φ = 48727040.

The previous prime is 146772077. The next prime is 146772127. The reversal of 146772096 is 690277641.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118810 + ... + 120038.

It is an arithmetic number, because the mean of its divisors is an integer number (6116175).

Almost surely, 2^146772096 is an apocalyptic number.

146772096 is a gapful number since it is divisible by the number (16) 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 146772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195717600).

146772096 is an abundant number, since it is smaller than the sum of its proper divisors (244663104).

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

146772096 is a wasteful number, since it uses less digits than its factorization.

146772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 146772096 is about 12114.9534047804. The cubic root of 146772096 is about 527.4903254367.

The spelling of 146772096 in words is "one hundred forty-six million, seven hundred seventy-two thousand, ninety-six".