146986080 has 96 divisors (see below), whose sum is σ = 490269024. Its totient is φ = 36888576.

The previous prime is 146986043. The next prime is 146986121. The reversal of 146986080 is 80689641.

It is a tau number, because it is divible by the number of its divisors (96).

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, 847 + ... + 17166.

It is an arithmetic number, because the mean of its divisors is an integer number (5106969).

Almost surely, 2^146986080 is an apocalyptic number.

146986080 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 146986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245134512).

146986080 is an abundant number, since it is smaller than the sum of its proper divisors (343282944).

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

146986080 is a wasteful number, since it uses less digits than its factorization.

146986080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18048 (or 18040 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 146986080 is about 12123.7815882669. The cubic root of 146986080 is about 527.7465496163.

The spelling of 146986080 in words is "one hundred forty-six million, nine hundred eighty-six thousand, eighty".