146991520 has 96 divisors (see below), whose sum is σ = 396074448. Its totient is φ = 51068928.

The previous prime is 146991497. The next prime is 146991529. The reversal of 146991520 is 25199641.

It can be written as a sum of positive squares in 8 ways, for example, as 53056656 + 93934864 = 7284^2 + 9692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146991520.

It is not an unprimeable number, because it can be changed into a prime (146991529) 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 15 ways as a sum of consecutive naturals, for example, 33282 + ... + 37438.

Almost surely, 2^146991520 is an apocalyptic number.

146991520 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 146991520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198037224).

146991520 is an abundant number, since it is smaller than the sum of its proper divisors (249082928).

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

146991520 is a wasteful number, since it uses less digits than its factorization.

146991520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 146991520 is about 12124.0059386327. The cubic root of 146991520 is about 527.7530602234.

The spelling of 146991520 in words is "one hundred forty-six million, nine hundred ninety-one thousand, five hundred twenty".