138087806572800 has 1728 divisors, whose sum is σ = 588361809100800. Its totient is φ = 31037113958400.

The previous prime is 138087806572799. The next prime is 138087806572801. The reversal of 138087806572800 is 8275608780831.

It is an interprime number because it is at equal distance from previous prime (138087806572799) and next prime (138087806572801).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (138087806572801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61673874081 + ... + 61673876319.

Almost surely, 2^{138087806572800} is an apocalyptic number.

138087806572800 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 138087806572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294180904550400).

138087806572800 is an abundant number, since it is smaller than the sum of its proper divisors (450274002528000).

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

138087806572800 is a wasteful number, since it uses less digits than its factorization.

138087806572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 138087806572800 in words is "one hundred thirty-eight trillion, eighty-seven billion, eight hundred six million, five hundred seventy-two thousand, eight hundred".