1903734144 has 128 divisors (see below), whose sum is σ = 6051007200. Its totient is φ = 585750528.

The previous prime is 1903734113. The next prime is 1903734163. The reversal of 1903734144 is 4414373091.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 1903734099 and 1903734108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23742 + ... + 66114.

Almost surely, 2^1903734144 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 1903734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025503600).

1903734144 is an abundant number, since it is smaller than the sum of its proper divisors (4147273056).

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

1903734144 is a wasteful number, since it uses less digits than its factorization.

1903734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42409 (or 42391 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1903734144 is about 43631.8019797487. The cubic root of 1903734144 is about 1239.3731969140.

The spelling of 1903734144 in words is "one billion, nine hundred three million, seven hundred thirty-four thousand, one hundred forty-four".