146080213734960 has 640 divisors, whose sum is σ = 536387269017600. Its totient is φ = 36435465722880.

The previous prime is 146080213734823. The next prime is 146080213735037. The reversal of 146080213734960 is 69437312080641.

146080213734960 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 80 + 2 + 1 + 3 + 73 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 146080213734897 and 146080213734906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5392191015 + ... + 5392218105.

It is an arithmetic number, because the mean of its divisors is an integer number (838105107840).

Almost surely, 2^{146080213734960} is an apocalyptic number.

146080213734960 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 146080213734960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268193634508800).

146080213734960 is an abundant number, since it is smaller than the sum of its proper divisors (390307055282640).

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

146080213734960 is a wasteful number, since it uses less digits than its factorization.

146080213734960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28798 (or 28786 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 146080213734960 in words is "one hundred forty-six trillion, eighty billion, two hundred thirteen million, seven hundred thirty-four thousand, nine hundred sixty".