146119669920 has 432 divisors, whose sum is σ = 588232689408. Its totient is φ = 32927247360.

The previous prime is 146119669919. The next prime is 146119669963. The reversal of 146119669920 is 29966911641.

146119669920 is a `hidden beast` number, since 1 + 461 + 1 + 96 + 6 + 9 + 92 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 4995177 + ... + 5024343.

It is an arithmetic number, because the mean of its divisors is an integer number (1361649744).

Almost surely, 2^146119669920 is an apocalyptic number.

146119669920 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 146119669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294116344704).

146119669920 is an abundant number, since it is smaller than the sum of its proper divisors (442113019488).

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

146119669920 is a wasteful number, since it uses less digits than its factorization.

146119669920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29273 (or 29255 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 146119669920 in words is "one hundred forty-six billion, one hundred nineteen million, six hundred sixty-nine thousand, nine hundred twenty".