146282880 has 128 divisors (see below), whose sum is σ = 474300000. Its totient is φ = 38338560.

The previous prime is 146282879. The next prime is 146282923. The reversal of 146282880 is 88282641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116496 + ... + 117744.

Almost surely, 2^146282880 is an apocalyptic number.

146282880 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 146282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237150000).

146282880 is an abundant number, since it is smaller than the sum of its proper divisors (328017120).

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

146282880 is a wasteful number, since it uses less digits than its factorization.

146282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 146282880 is about 12094.7459667411. The cubic root of 146282880 is about 526.9036018436.

The spelling of 146282880 in words is "one hundred forty-six million, two hundred eighty-two thousand, eight hundred eighty".