146806752134112 has 384 divisors, whose sum is σ = 458012551127040. Its totient is φ = 40284810639360.

The previous prime is 146806752134059. The next prime is 146806752134167. The reversal of 146806752134112 is 211431257608641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8581668663 + ... + 8581685769.

It is an arithmetic number, because the mean of its divisors is an integer number (1192741018560).

Almost surely, 2^{146806752134112} is an apocalyptic number.

146806752134112 is a gapful number since it is divisible by the number (12) 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 146806752134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229006275563520).

146806752134112 is an abundant number, since it is smaller than the sum of its proper divisors (311205798992928).

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

146806752134112 is a wasteful number, since it uses less digits than its factorization.

146806752134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19454 (or 19446 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 146806752134112 in words is "one hundred forty-six trillion, eight hundred six billion, seven hundred fifty-two million, one hundred thirty-four thousand, one hundred twelve".