146755560 has 256 divisors, whose sum is σ = 547430400. Its totient is φ = 30707712.

The previous prime is 146755559. The next prime is 146755561. The reversal of 146755560 is 65557641.

It is an interprime number because it is at equal distance from previous prime (146755559) and next prime (146755561).

It is not an unprimeable number, because it can be changed into a prime (146755561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613921 + ... + 614159.

It is an arithmetic number, because the mean of its divisors is an integer number (2138400).

Almost surely, 2^146755560 is an apocalyptic number.

146755560 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 146755560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273715200).

146755560 is an abundant number, since it is smaller than the sum of its proper divisors (400674840).

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

146755560 is a wasteful number, since it uses less digits than its factorization.

146755560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 146755560 is about 12114.2709231716. The cubic root of 146755560 is about 527.4705148872.

The spelling of 146755560 in words is "one hundred forty-six million, seven hundred fifty-five thousand, five hundred sixty".