345135151200 has 144 divisors (see below), whose sum is σ = 1283902824960. Its totient is φ = 78888030720.

The previous prime is 345135151169. The next prime is 345135151201. The reversal of 345135151200 is 2151531543.

It is a super-3 number, since 3×345135151200³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345135151201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10255080 + ... + 10288679.

It is an arithmetic number, because the mean of its divisors is an integer number (8915991840).

Almost surely, 2^345135151200 is an apocalyptic number.

345135151200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345135151200 is an abundant number, since it is smaller than the sum of its proper divisors (938767673760).

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

345135151200 is a wasteful number, since it uses less digits than its factorization.

345135151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20543789 (or 20543776 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 345135151200 its reverse (2151531543), we get a palindrome (347286682743).

The spelling of 345135151200 in words is "three hundred forty-five billion, one hundred thirty-five million, one hundred fifty-one thousand, two hundred".