146800973760 has 336 divisors, whose sum is σ = 570729709440. Its totient is φ = 31788288000.

The previous prime is 146800973663. The next prime is 146800973791. The reversal of 146800973760 is 67379008641.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811635 + ... + 975885.

Almost surely, 2^146800973760 is an apocalyptic number.

146800973760 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 146800973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285364854720).

146800973760 is an abundant number, since it is smaller than the sum of its proper divisors (423928735680).

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

146800973760 is a wasteful number, since it uses less digits than its factorization.

146800973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164304 (or 164287 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 146800973760 in words is "one hundred forty-six billion, eight hundred million, nine hundred seventy-three thousand, seven hundred sixty".