146576980 has 72 divisors (see below), whose sum is σ = 347694984. Its totient is φ = 51828480.

The previous prime is 146576977. The next prime is 146577007. The reversal of 146576980 is 89675641.

It can be written as a sum of positive squares in 4 ways, for example, as 8561476 + 138015504 = 2926^2 + 11748^2 .

It is a super-2 number, since 2×146576980² = 42969622131840800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146576980.

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 23 ways as a sum of consecutive naturals, for example, 88722 + ... + 90358.

It is an arithmetic number, because the mean of its divisors is an integer number (4829097).

Almost surely, 2^146576980 is an apocalyptic number.

146576980 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 146576980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173847492).

146576980 is an abundant number, since it is smaller than the sum of its proper divisors (201118004).

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

146576980 is a wasteful number, since it uses less digits than its factorization.

146576980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 146576980 is about 12106.8980337657. The cubic root of 146576980 is about 527.2564766187.

The spelling of 146576980 in words is "one hundred forty-six million, five hundred seventy-six thousand, nine hundred eighty".