146504960 has 144 divisors (see below), whose sum is σ = 407949696. Its totient is φ = 49373184.

The previous prime is 146504959. The next prime is 146504983. The reversal of 146504960 is 69405641.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 146504960.

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 15 ways as a sum of consecutive naturals, for example, 743582 + ... + 743778.

It is an arithmetic number, because the mean of its divisors is an integer number (2832984).

Almost surely, 2^146504960 is an apocalyptic number.

146504960 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 146504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203974848).

146504960 is an abundant number, since it is smaller than the sum of its proper divisors (261444736).

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

146504960 is an equidigital number, since it uses as much as digits as its factorization.

146504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 146504960 is about 12103.9233308874. The cubic root of 146504960 is about 527.1701073666.

The spelling of 146504960 in words is "one hundred forty-six million, five hundred four thousand, nine hundred sixty".