146085813760 has 320 divisors, whose sum is σ = 390671424000. Its totient is φ = 52134838272.

The previous prime is 146085813751. The next prime is 146085813773. The reversal of 146085813760 is 67318580641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74953266 + ... + 74955214.

It is an arithmetic number, because the mean of its divisors is an integer number (1220848200).

Almost surely, 2^146085813760 is an apocalyptic number.

146085813760 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 146085813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195335712000).

146085813760 is an abundant number, since it is smaller than the sum of its proper divisors (244585610240).

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

146085813760 is a wasteful number, since it uses less digits than its factorization.

146085813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 146085813760 in words is "one hundred forty-six billion, eighty-five million, eight hundred thirteen thousand, seven hundred sixty".