146196807120 has 320 divisors, whose sum is σ = 619775331840. Its totient is φ = 30845878272.

The previous prime is 146196807079. The next prime is 146196807173. The reversal of 146196807120 is 21708691641.

146196807120 is a `hidden beast` number, since 1 + 4 + 619 + 6 + 8 + 0 + 7 + 1 + 20 = 666.

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

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, 175329 + ... + 568448.

It is an arithmetic number, because the mean of its divisors is an integer number (1936797912).

Almost surely, 2^146196807120 is an apocalyptic number.

146196807120 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 146196807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309887665920).

146196807120 is an abundant number, since it is smaller than the sum of its proper divisors (473578524720).

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

146196807120 is a wasteful number, since it uses less digits than its factorization.

146196807120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743819 (or 743807 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 146196807120 in words is "one hundred forty-six billion, one hundred ninety-six million, eight hundred seven thousand, one hundred twenty".