138545419552848 has 240 divisors, whose sum is σ = 508852168281600. Its totient is φ = 34091832510720.

The previous prime is 138545419552781. The next prime is 138545419552849. The reversal of 138545419552848 is 848255914545831.

138545419552848 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 4 + 5 + 4 + 1 + 95 + 528 + 4 + 8 = 666.

It is a super-2 number, since 2×138545419552848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138545419552849) 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, 328607158 + ... + 329028501.

It is an arithmetic number, because the mean of its divisors is an integer number (2120217367840).

Almost surely, 2^{138545419552848} is an apocalyptic number.

138545419552848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138545419552848 is an abundant number, since it is smaller than the sum of its proper divisors (370306748728752).

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

138545419552848 is a wasteful number, since it uses less digits than its factorization.

138545419552848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657635710 (or 657635701 counting only the distinct ones).

The product of its digits is 1105920000, while the sum is 72.

The spelling of 138545419552848 in words is "one hundred thirty-eight trillion, five hundred forty-five billion, four hundred nineteen million, five hundred fifty-two thousand, eight hundred forty-eight".