146250720 has 288 divisors, whose sum is σ = 622702080. Its totient is φ = 30366720.

The previous prime is 146250719. The next prime is 146250743. The reversal of 146250720 is 27052641.

146250720 is a `hidden beast` number, since 14 + 625 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110221 + ... + 111539.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^146250720 is an apocalyptic number.

146250720 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 146250720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

146250720 is an abundant number, since it is smaller than the sum of its proper divisors (476451360).

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

146250720 is a wasteful number, since it uses less digits than its factorization.

146250720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 146250720 is about 12093.4163907475. The cubic root of 146250720 is about 526.8649861109.

The spelling of 146250720 in words is "one hundred forty-six million, two hundred fifty thousand, seven hundred twenty".