146212404625260 has 768 divisors, whose sum is σ = 478806206054400. Its totient is φ = 36997934284800.

The previous prime is 146212404625237. The next prime is 146212404625361. The reversal of 146212404625260 is 62526404212641.

146212404625260 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 12 + 4 + 0 + 4 + 625 + 2 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90871599336 + ... + 90871600944.

It is an arithmetic number, because the mean of its divisors is an integer number (623445580800).

Almost surely, 2^{146212404625260} is an apocalyptic number.

146212404625260 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 146212404625260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239403103027200).

146212404625260 is an abundant number, since it is smaller than the sum of its proper divisors (332593801429140).

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

146212404625260 is a wasteful number, since it uses less digits than its factorization.

146212404625260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 146212404625260 in words is "one hundred forty-six trillion, two hundred twelve billion, four hundred four million, six hundred twenty-five thousand, two hundred sixty".