138290264544 has 96 divisors (see below), whose sum is σ = 382218480000. Its totient is φ = 43659108864.

The previous prime is 138290264503. The next prime is 138290264549. The reversal of 138290264544 is 445462092831.

138290264544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 138290264493 and 138290264502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138290264549) 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 15 ways as a sum of consecutive naturals, for example, 9293142 + ... + 9308010.

It is an arithmetic number, because the mean of its divisors is an integer number (3981442500).

Almost surely, 2^138290264544 is an apocalyptic number.

It is an amenable number.

138290264544 is an abundant number, since it is smaller than the sum of its proper divisors (243928215456).

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

138290264544 is a wasteful number, since it uses less digits than its factorization.

138290264544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20000 (or 19992 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 138290264544 in words is "one hundred thirty-eight billion, two hundred ninety million, two hundred sixty-four thousand, five hundred forty-four".