1506112542340 has 144 divisors (see below), whose sum is σ = 3783042370800. Its totient is φ = 501988451328.

The previous prime is 1506112542257. The next prime is 1506112542343. The reversal of 1506112542340 is 432452116051.

It can be written as a sum of positive squares in 8 ways, for example, as 215103019264 + 1291009523076 = 463792^2 + 1136226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1506112542296 and 1506112542305.

It is not an unprimeable number, because it can be changed into a prime (1506112542343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5528446 + ... + 5794474.

It is an arithmetic number, because the mean of its divisors is an integer number (26271127575).

Almost surely, 2^{1506112542340} is an apocalyptic number.

1506112542340 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 1506112542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891521185400).

1506112542340 is an abundant number, since it is smaller than the sum of its proper divisors (2276929828460).

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

1506112542340 is a wasteful number, since it uses less digits than its factorization.

1506112542340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266214 (or 266205 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 1506112542340 its reverse (432452116051), we get a palindrome (1938564658391).

The spelling of 1506112542340 in words is "one trillion, five hundred six billion, one hundred twelve million, five hundred forty-two thousand, three hundred forty".