15138243540 has 288 divisors, whose sum is σ = 55423979520. Its totient is φ = 3267226368.

The previous prime is 15138243517. The next prime is 15138243557. The reversal of 15138243540 is 4534283151.

15138243540 is a `hidden beast` number, since 151 + 38 + 2 + 435 + 40 = 666.

15138243540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15138243495 and 15138243504.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 8785119 + ... + 8786841.

Almost surely, 2^15138243540 is an apocalyptic number.

15138243540 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 15138243540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27711989760).

15138243540 is an abundant number, since it is smaller than the sum of its proper divisors (40285735980).

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

15138243540 is a wasteful number, since it uses less digits than its factorization.

15138243540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 15138243540 in words is "fifteen billion, one hundred thirty-eight million, two hundred forty-three thousand, five hundred forty".