38140135701300 has 108 divisors (see below), whose sum is σ = 119557402380780. Its totient is φ = 10169914544640.

The previous prime is 38140135701271. The next prime is 38140135701319. The reversal of 38140135701300 is 310753104183.

38140135701300 is a `hidden beast` number, since 3 + 8 + 1 + 40 + 13 + 570 + 1 + 30 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12714458958756 + 25425676742544 = 3565734^2 + 5042388^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10021866 + ... + 13293534.

Almost surely, 2^{38140135701300} is an apocalyptic number.

38140135701300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38140135701300 is an abundant number, since it is smaller than the sum of its proper divisors (81417266679480).

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

38140135701300 is a wasteful number, since it uses less digits than its factorization.

38140135701300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284642 (or 3284632 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 38140135701300 its reverse (310753104183), we get a palindrome (38450888805483).

The spelling of 38140135701300 in words is "thirty-eight trillion, one hundred forty billion, one hundred thirty-five million, seven hundred one thousand, three hundred".