138035668942080 has 1152 divisors, whose sum is σ = 607622529024000. Its totient is φ = 28894602756096.

The previous prime is 138035668942027. The next prime is 138035668942099. The reversal of 138035668942080 is 80249866530831.

It is a happy number.

138035668942080 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 3 + 56 + 6 + 89 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 138035668941999 and 138035668942017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 399237121 + ... + 399582719.

It is an arithmetic number, because the mean of its divisors is an integer number (527450112000).

Almost surely, 2^{138035668942080} is an apocalyptic number.

138035668942080 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 138035668942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303811264512000).

138035668942080 is an abundant number, since it is smaller than the sum of its proper divisors (469586860081920).

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

138035668942080 is a wasteful number, since it uses less digits than its factorization.

138035668942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345776 (or 345756 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 138035668942080 in words is "one hundred thirty-eight trillion, thirty-five billion, six hundred sixty-eight million, nine hundred forty-two thousand, eighty".