146228632200 has 864 divisors, whose sum is σ = 610293528000. Its totient is φ = 31193164800.

The previous prime is 146228632169. The next prime is 146228632261. The reversal of 146228632200 is 2236822641.

146228632200 is a `hidden beast` number, since 1 + 4 + 622 + 8 + 6 + 3 + 2 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 118981186 + ... + 118982414.

It is an arithmetic number, because the mean of its divisors is an integer number (706358250).

Almost surely, 2^146228632200 is an apocalyptic number.

146228632200 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 146228632200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305146764000).

146228632200 is an abundant number, since it is smaller than the sum of its proper divisors (464064895800).

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

146228632200 is a wasteful number, since it uses less digits than its factorization.

146228632200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 146228632200 in words is "one hundred forty-six billion, two hundred twenty-eight million, six hundred thirty-two thousand, two hundred".