146688480 has 288 divisors, whose sum is σ = 539675136. Its totient is φ = 36191232.

The previous prime is 146688449. The next prime is 146688491. The reversal of 146688480 is 84886641.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424109 + ... + 1424211.

It is an arithmetic number, because the mean of its divisors is an integer number (1873872).

Almost surely, 2^146688480 is an apocalyptic number.

146688480 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 146688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269837568).

146688480 is an abundant number, since it is smaller than the sum of its proper divisors (392986656).

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

146688480 is a wasteful number, since it uses less digits than its factorization.

146688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 146688480 is about 12111.5019712668. The cubic root of 146688480 is about 527.3901360711.

The spelling of 146688480 in words is "one hundred forty-six million, six hundred eighty-eight thousand, four hundred eighty".