345151132000000 has 252 divisors, whose sum is σ = 862167805673328. Its totient is φ = 137902336000000.

The previous prime is 345151131999991. The next prime is 345151132000007. The reversal of 345151132000000 is 231151543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345151132000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3523951029 + ... + 3524048971.

It is an arithmetic number, because the mean of its divisors is an integer number (3421300816164).

Almost surely, 2^{345151132000000} 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 345151132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431083902836664).

345151132000000 is an abundant number, since it is smaller than the sum of its proper divisors (517016673673328).

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

345151132000000 is an frugal number, since it uses more digits than its factorization.

345151132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98870 (or 98831 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 345151132000000 its reverse (231151543), we get a palindrome (345151363151543).

The spelling of 345151132000000 in words is "three hundred forty-five trillion, one hundred fifty-one billion, one hundred thirty-two million", and thus it is an aban number.