146906705920 has 416 divisors, whose sum is σ = 401267260800. Its totient is φ = 51240763392.

The previous prime is 146906705899. The next prime is 146906705921. The reversal of 146906705920 is 29507609641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146906705921) 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, 409210701 + ... + 409211059.

Almost surely, 2^146906705920 is an apocalyptic number.

146906705920 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 146906705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200633630400).

146906705920 is an abundant number, since it is smaller than the sum of its proper divisors (254360554880).

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

146906705920 is a wasteful number, since it uses less digits than its factorization.

146906705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 146906705920 in words is "one hundred forty-six billion, nine hundred six million, seven hundred five thousand, nine hundred twenty".