146430720 has 288 divisors, whose sum is σ = 549427200. Its totient is φ = 36827136.

The previous prime is 146430659. The next prime is 146430727. The reversal of 146430720 is 27034641.

146430720 is a `hidden beast` number, since 14 + 643 + 0 + 7 + 2 + 0 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (146430727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656529 + ... + 656751.

Almost surely, 2^146430720 is an apocalyptic number.

146430720 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 146430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274713600).

146430720 is an abundant number, since it is smaller than the sum of its proper divisors (402996480).

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

146430720 is a wasteful number, since it uses less digits than its factorization.

146430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 146430720 is about 12100.8561680569. The cubic root of 146430720 is about 527.0810461693.

The spelling of 146430720 in words is "one hundred forty-six million, four hundred thirty thousand, seven hundred twenty".