1731145140 has 144 divisors (see below), whose sum is σ = 5668790400. Its totient is φ = 426311424.

The previous prime is 1731145123. The next prime is 1731145147. The reversal of 1731145140 is 415411371.

1731145140 is a `hidden beast` number, since 173 + 1 + 1 + 451 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1731145147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112851 + ... + 127269.

It is an arithmetic number, because the mean of its divisors is an integer number (39366600).

Almost surely, 2^1731145140 is an apocalyptic number.

1731145140 is a gapful number since it is divisible by the number (10) 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 1731145140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834395200).

1731145140 is an abundant number, since it is smaller than the sum of its proper divisors (3937645260).

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

1731145140 is a wasteful number, since it uses less digits than its factorization.

1731145140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14486 (or 14481 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1731145140 is about 41607.0323382959. The cubic root of 1731145140 is about 1200.7276004089.

The spelling of 1731145140 in words is "one billion, seven hundred thirty-one million, one hundred forty-five thousand, one hundred forty".