146459229120 has 672 divisors, whose sum is σ = 549621334080. Its totient is φ = 35672555520.

The previous prime is 146459229061. The next prime is 146459229121. The reversal of 146459229120 is 21922954641.

146459229120 is a `hidden beast` number, since 1 + 46 + 4 + 592 + 2 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146459229121) 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 95 ways as a sum of consecutive naturals, for example, 217621104 + ... + 217621776.

It is an arithmetic number, because the mean of its divisors is an integer number (817888890).

Almost surely, 2^146459229120 is an apocalyptic number.

146459229120 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 146459229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274810667040).

146459229120 is an abundant number, since it is smaller than the sum of its proper divisors (403162104960).

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

146459229120 is a wasteful number, since it uses less digits than its factorization.

146459229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 146459229120 in words is "one hundred forty-six billion, four hundred fifty-nine million, two hundred twenty-nine thousand, one hundred twenty".