146441520 has 220 divisors, whose sum is σ = 527186496. Its totient is φ = 37791360.

The previous prime is 146441507. The next prime is 146441527. The reversal of 146441520 is 25144641.

146441520 is a `hidden beast` number, since 1 + 4 + 644 + 15 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (146441527) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 4723905 + ... + 4723935.

Almost surely, 2^146441520 is an apocalyptic number.

146441520 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 146441520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263593248).

146441520 is an abundant number, since it is smaller than the sum of its proper divisors (380744976).

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

146441520 is an frugal number, since it uses more digits than its factorization.

146441520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 146441520 is about 12101.3024092450. The cubic root of 146441520 is about 527.0940041410.

The spelling of 146441520 in words is "one hundred forty-six million, four hundred forty-one thousand, five hundred twenty".