1540452144 has 160 divisors (see below), whose sum is σ = 5253520896. Its totient is φ = 376565760.

The previous prime is 1540452103. The next prime is 1540452157. The reversal of 1540452144 is 4412540451.

It is a super-5 number, since 5×1540452144⁵ (a number of 47 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50574 + ... + 75090.

Almost surely, 2^1540452144 is an apocalyptic number.

1540452144 is a gapful number since it is divisible by the number (14) 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 1540452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626760448).

1540452144 is an abundant number, since it is smaller than the sum of its proper divisors (3713068752).

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

1540452144 is a wasteful number, since it uses less digits than its factorization.

1540452144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24563 (or 24557 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 1540452144 is about 39248.5941659061. The cubic root of 1540452144 is about 1154.9133556938.

Adding to 1540452144 its reverse (4412540451), we get a palindrome (5952992595).

The spelling of 1540452144 in words is "one billion, five hundred forty million, four hundred fifty-two thousand, one hundred forty-four".