146219196060 has 960 divisors, whose sum is σ = 587319828480. Its totient is φ = 29680680960.

The previous prime is 146219196037. The next prime is 146219196083. The reversal of 146219196060 is 60691912641.

It is a happy number.

146219196060 is a `hidden beast` number, since 1 + 4 + 6 + 21 + 9 + 19 + 606 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146219196037) and next prime (146219196083).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 146219195997 and 146219196015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 256975456 + ... + 256976024.

It is an arithmetic number, because the mean of its divisors is an integer number (611791488).

Almost surely, 2^146219196060 is an apocalyptic number.

146219196060 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 146219196060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293659914240).

146219196060 is an abundant number, since it is smaller than the sum of its proper divisors (441100632420).

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

146219196060 is a wasteful number, since it uses less digits than its factorization.

146219196060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 146219196060 in words is "one hundred forty-six billion, two hundred nineteen million, one hundred ninety-six thousand, sixty".