138344815306460 has 48 divisors (see below), whose sum is σ = 332078273393664. Its totient is φ = 47425262868288.

The previous prime is 138344815306457. The next prime is 138344815306463. The reversal of 138344815306460 is 64603518443831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138344815306457) and next prime (138344815306463).

It is a junction number, because it is equal to n+sod(n) for n = 138344815306396 and 138344815306405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138344815306463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74551364 + ... + 76384523.

It is an arithmetic number, because the mean of its divisors is an integer number (6918297362368).

Almost surely, 2^{138344815306460} is an apocalyptic number.

138344815306460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138344815306460 is an abundant number, since it is smaller than the sum of its proper divisors (193733458087204).

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

138344815306460 is a wasteful number, since it uses less digits than its factorization.

138344815306460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150942450 (or 150942448 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 56.

The spelling of 138344815306460 in words is "one hundred thirty-eight trillion, three hundred forty-four billion, eight hundred fifteen million, three hundred six thousand, four hundred sixty".