146531520 has 168 divisors, whose sum is σ = 510911856. Its totient is φ = 38541312.

The previous prime is 146531453. The next prime is 146531521. The reversal of 146531520 is 25135641.

146531520 is a `hidden beast` number, since 1 + 4 + 653 + 1 + 5 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (146531521) by changing a digit.

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, 238734 + ... + 239346.

It is an arithmetic number, because the mean of its divisors is an integer number (3041142).

Almost surely, 2^146531520 is an apocalyptic number.

146531520 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 146531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255455928).

146531520 is an abundant number, since it is smaller than the sum of its proper divisors (364380336).

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

146531520 is a wasteful number, since it uses less digits than its factorization.

146531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 146531520 is about 12105.0204460794. The cubic root of 146531520 is about 527.2019624701.

The spelling of 146531520 in words is "one hundred forty-six million, five hundred thirty-one thousand, five hundred twenty".