1510243215138 has 128 divisors (see below), whose sum is σ = 3848521075200. Its totient is φ = 430040088576.

The previous prime is 1510243215137. The next prime is 1510243215181. The reversal of 1510243215138 is 8315123420151.

1510243215138 is a `hidden beast` number, since 1 + 5 + 102 + 4 + 32 + 1 + 513 + 8 = 666.

It is a super-3 number, since 3×1510243215138³ (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1510243215137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140443170 + ... + 140453922.

It is an arithmetic number, because the mean of its divisors is an integer number (30066570900).

Almost surely, 2^{1510243215138} is an apocalyptic number.

1510243215138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1510243215138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924260537600).

1510243215138 is an abundant number, since it is smaller than the sum of its proper divisors (2338277860062).

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

1510243215138 is a wasteful number, since it uses less digits than its factorization.

1510243215138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11993 (or 11987 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 1510243215138 its reverse (8315123420151), we get a palindrome (9825366635289).

The spelling of 1510243215138 in words is "one trillion, five hundred ten billion, two hundred forty-three million, two hundred fifteen thousand, one hundred thirty-eight".