146304435420 has 288 divisors, whose sum is σ = 552046622400. Its totient is φ = 30813511680.

The previous prime is 146304435397. The next prime is 146304435451. The reversal of 146304435420 is 24534403641.

146304435420 is a `hidden beast` number, since 1 + 46 + 30 + 4 + 43 + 542 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270406 + ... + 604754.

It is an arithmetic number, because the mean of its divisors is an integer number (1916828550).

Almost surely, 2^146304435420 is an apocalyptic number.

146304435420 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 146304435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276023311200).

146304435420 is an abundant number, since it is smaller than the sum of its proper divisors (405742186980).

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

146304435420 is a wasteful number, since it uses less digits than its factorization.

146304435420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334405 (or 334400 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 146304435420 in words is "one hundred forty-six billion, three hundred four million, four hundred thirty-five thousand, four hundred twenty".