138045267360 has 1152 divisors, whose sum is σ = 656109103104. Its totient is φ = 26470748160.

The previous prime is 138045267329. The next prime is 138045267361. The reversal of 138045267360 is 63762540831.

138045267360 is a `hidden beast` number, since 1 + 3 + 80 + 452 + 67 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138045267361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38917107 + ... + 38920653.

It is an arithmetic number, because the mean of its divisors is an integer number (569539152).

Almost surely, 2^138045267360 is an apocalyptic number.

138045267360 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 138045267360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328054551552).

138045267360 is an abundant number, since it is smaller than the sum of its proper divisors (518063835744).

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

138045267360 is a wasteful number, since it uses less digits than its factorization.

138045267360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 138045267360 in words is "one hundred thirty-eight billion, forty-five million, two hundred sixty-seven thousand, three hundred sixty".