34144153000 has 32 divisors (see below), whose sum is σ = 79897320360. Its totient is φ = 13657660800.

The previous prime is 34144152997. The next prime is 34144153019. The reversal of 34144153000 is 35144143.

It can be written as a sum of positive squares in 4 ways, for example, as 7110874276 + 27033278724 = 84326^2 + 164418^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17071077 + ... + 17073076.

Almost surely, 2^34144153000 is an apocalyptic number.

It is an amenable number.

34144153000 is an abundant number, since it is smaller than the sum of its proper divisors (45753167360).

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

34144153000 is a wasteful number, since it uses less digits than its factorization.

34144153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34144174 (or 34144160 counting only the distinct ones).

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

Adding to 34144153000 its reverse (35144143), we get a palindrome (34179297143).

The spelling of 34144153000 in words is "thirty-four billion, one hundred forty-four million, one hundred fifty-three thousand".