34153144000 has 112 divisors (see below), whose sum is σ = 84663015840. Its totient is φ = 13647897600.

The previous prime is 34153143991. The next prime is 34153144001. The reversal of 34153144000 is 44135143.

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

It is not an unprimeable number, because it can be changed into a prime (34153144001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14294806 + ... + 14297194.

Almost surely, 2^34153144000 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 34153144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42331507920).

34153144000 is an abundant number, since it is smaller than the sum of its proper divisors (50509871840).

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

34153144000 is a wasteful number, since it uses less digits than its factorization.

34153144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4203 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 34153144000 its reverse (44135143), we get a palindrome (34197279143).

The spelling of 34153144000 in words is "thirty-four billion, one hundred fifty-three million, one hundred forty-four thousand".