34131234241152 has 192 divisors, whose sum is σ = 100831080130560. Its totient is φ = 11076710737920.

The previous prime is 34131234241147. The next prime is 34131234241157. The reversal of 34131234241152 is 25114243213143.

34131234241152 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 1 + 234 + 2 + 411 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34131234241147) and next prime (34131234241157).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34131234241157) 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, 8691298 + ... + 11991710.

It is an arithmetic number, because the mean of its divisors is an integer number (525161875680).

Almost surely, 2^{34131234241152} is an apocalyptic number.

34131234241152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34131234241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50415540065280).

34131234241152 is an abundant number, since it is smaller than the sum of its proper divisors (66699845889408).

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

34131234241152 is a wasteful number, since it uses less digits than its factorization.

34131234241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300671 (or 3300656 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 34131234241152 its reverse (25114243213143), we get a palindrome (59245477454295).

The spelling of 34131234241152 in words is "thirty-four trillion, one hundred thirty-one billion, two hundred thirty-four million, two hundred forty-one thousand, one hundred fifty-two".