146754720 has 384 divisors, whose sum is σ = 615444480. Its totient is φ = 31933440.

The previous prime is 146754679. The next prime is 146754731. The reversal of 146754720 is 27457641.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 695415 + ... + 695625.

It is an arithmetic number, because the mean of its divisors is an integer number (1602720).

Almost surely, 2^146754720 is an apocalyptic number.

146754720 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 146754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307722240).

146754720 is an abundant number, since it is smaller than the sum of its proper divisors (468689760).

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

146754720 is a wasteful number, since it uses less digits than its factorization.

146754720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 146754720 is about 12114.2362532683. The cubic root of 146754720 is about 527.4695085061.

The spelling of 146754720 in words is "one hundred forty-six million, seven hundred fifty-four thousand, seven hundred twenty".