146213630051300 has 54 divisors (see below), whose sum is σ = 369084977584722. Its totient is φ = 50130387444480.

The previous prime is 146213630051263. The next prime is 146213630051341. The reversal of 146213630051300 is 3150036312641.

146213630051300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5644957831744 + 140568672219556 = 2375912^2 + 11856166^2 .

It is a super-2 number, since 2×146213630051300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14919753269 + ... + 14919763068.

Almost surely, 2^{146213630051300} is an apocalyptic number.

146213630051300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146213630051300 is an abundant number, since it is smaller than the sum of its proper divisors (222871347533422).

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

146213630051300 is a wasteful number, since it uses less digits than its factorization.

146213630051300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29839516365 (or 29839516351 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 146213630051300 its reverse (3150036312641), we get a palindrome (149363666363941).

The spelling of 146213630051300 in words is "one hundred forty-six trillion, two hundred thirteen billion, six hundred thirty million, fifty-one thousand, three hundred".