146076487785228 has 384 divisors, whose sum is σ = 477724608184320. Its totient is φ = 33487316628480.

The previous prime is 146076487785187. The next prime is 146076487785271. The reversal of 146076487785228 is 822587784670641.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 146076487785228.

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, 706334343 + ... + 706541121.

It is an arithmetic number, because the mean of its divisors is an integer number (1244074500480).

Almost surely, 2^{146076487785228} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146076487785228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238862304092160).

146076487785228 is an abundant number, since it is smaller than the sum of its proper divisors (331648120399092).

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

146076487785228 is a wasteful number, since it uses less digits than its factorization.

146076487785228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209397 (or 209395 counting only the distinct ones).

The product of its (nonzero) digits is 2023096320, while the sum is 75.

The spelling of 146076487785228 in words is "one hundred forty-six trillion, seventy-six billion, four hundred eighty-seven million, seven hundred eighty-five thousand, two hundred twenty-eight".