1540207140 has 144 divisors (see below), whose sum is σ = 4697263872. Its totient is φ = 375773184.

The previous prime is 1540207133. The next prime is 1540207171. The reversal of 1540207140 is 417020451.

1540207140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1540207140.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1395829 + ... + 1396931.

It is an arithmetic number, because the mean of its divisors is an integer number (32619888).

Almost surely, 2^1540207140 is an apocalyptic number.

1540207140 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 1540207140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348631936).

1540207140 is an abundant number, since it is smaller than the sum of its proper divisors (3157056732).

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

1540207140 is a wasteful number, since it uses less digits than its factorization.

1540207140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1540207140 is about 39245.4728599363. The cubic root of 1540207140 is about 1154.8521240189.

Adding to 1540207140 its reverse (417020451), we get a palindrome (1957227591).

The spelling of 1540207140 in words is "one billion, five hundred forty million, two hundred seven thousand, one hundred forty".