1540151040 has 144 divisors (see below), whose sum is σ = 5208422688. Its totient is φ = 386531328.

The previous prime is 1540151029. The next prime is 1540151051. The reversal of 1540151040 is 401510451.

It is an interprime number because it is at equal distance from previous prime (1540151029) and next prime (1540151051).

It is a junction number, because it is equal to n+sod(n) for n = 1540150998 and 1540151016.

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, 53484 + ... + 77076.

It is an arithmetic number, because the mean of its divisors is an integer number (36169602).

Almost surely, 2^1540151040 is an apocalyptic number.

1540151040 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 1540151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604211344).

1540151040 is an abundant number, since it is smaller than the sum of its proper divisors (3668271648).

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

1540151040 is a wasteful number, since it uses less digits than its factorization.

1540151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23634 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1540151040 is about 39244.7581213084. The cubic root of 1540151040 is about 1154.8381025303.

Adding to 1540151040 its reverse (401510451), we get a palindrome (1941661491).

The spelling of 1540151040 in words is "one billion, five hundred forty million, one hundred fifty-one thousand, forty".