146748960 has 144 divisors (see below), whose sum is σ = 506240280. Its totient is φ = 38707200.

The previous prime is 146748937. The next prime is 146748967. The reversal of 146748960 is 69847641.

It can be written as a sum of positive squares in 4 ways, for example, as 136328976 + 10419984 = 11676^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×146748960² = 43070514522163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (146748967) 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, 144936 + ... + 145944.

Almost surely, 2^146748960 is an apocalyptic number.

146748960 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 146748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253120140).

146748960 is an abundant number, since it is smaller than the sum of its proper divisors (359491320).

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

146748960 is a wasteful number, since it uses less digits than its factorization.

146748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 146748960 is about 12113.9985141158. The cubic root of 146748960 is about 527.4626075035.

The spelling of 146748960 in words is "one hundred forty-six million, seven hundred forty-eight thousand, nine hundred sixty".