345142150144 has 99 divisors (see below), whose sum is σ = 758826426981. Its totient is φ = 156788797440.

The previous prime is 345142150019. The next prime is 345142150159. The reversal of 345142150144 is 441051241543.

It is a happy number.

The square root of 345142150144 is 587488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 184116511744 + 161025638400 = 429088^2 + 401280^2 .

It is a super-3 number, since 3×345142150144³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 206794942 + ... + 206796610.

Almost surely, 2^345142150144 is an apocalyptic number.

345142150144 is the 587488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345142150144

345142150144 is an abundant number, since it is smaller than the sum of its proper divisors (413684276837).

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

345142150144 is an frugal number, since it uses more digits than its factorization.

345142150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 345142150144 its reverse (441051241543), we get a palindrome (786193391687).

The spelling of 345142150144 in words is "three hundred forty-five billion, one hundred forty-two million, one hundred fifty thousand, one hundred forty-four".