146317321080 has 640 divisors, whose sum is σ = 598409856000. Its totient is φ = 31302070272.

The previous prime is 146317321079. The next prime is 146317321081. The reversal of 146317321080 is 80123713641.

It is a happy number.

146317321080 is a `hidden beast` number, since 1 + 4 + 631 + 7 + 3 + 2 + 10 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146317321079) and next prime (146317321081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146317321081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 76725487 + ... + 76727393.

It is an arithmetic number, because the mean of its divisors is an integer number (935015400).

Almost surely, 2^146317321080 is an apocalyptic number.

146317321080 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 146317321080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299204928000).

146317321080 is an abundant number, since it is smaller than the sum of its proper divisors (452092534920).

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

146317321080 is a wasteful number, since it uses less digits than its factorization.

146317321080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 146317321080 in words is "one hundred forty-six billion, three hundred seventeen million, three hundred twenty-one thousand, eighty".