146226514351200 has 72 divisors (see below), whose sum is σ = 475967304220968. Its totient is φ = 38993737159680.

The previous prime is 146226514351163. The next prime is 146226514351259. The reversal of 146226514351200 is 2153415622641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30463854757 + ... + 30463859556.

It is an arithmetic number, because the mean of its divisors is an integer number (6610657003069).

Almost surely, 2^{146226514351200} is an apocalyptic number.

146226514351200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146226514351200 is an abundant number, since it is smaller than the sum of its proper divisors (329740789869768).

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

146226514351200 is a wasteful number, since it uses less digits than its factorization.

146226514351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60927714336 (or 60927714323 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 146226514351200 its reverse (2153415622641), we get a palindrome (148379929973841).

The spelling of 146226514351200 in words is "one hundred forty-six trillion, two hundred twenty-six billion, five hundred fourteen million, three hundred fifty-one thousand, two hundred".