138549070420800 has 336 divisors, whose sum is σ = 489677457178560. Its totient is φ = 34093576028160.

The previous prime is 138549070420777. The next prime is 138549070420823. The reversal of 138549070420800 is 8024070945831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138549070420777) and next prime (138549070420823).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197395279 + ... + 198095921.

It is an arithmetic number, because the mean of its divisors is an integer number (1457373384460).

Almost surely, 2^{138549070420800} is an apocalyptic number.

138549070420800 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 138549070420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244838728589280).

138549070420800 is an abundant number, since it is smaller than the sum of its proper divisors (351128386757760).

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

138549070420800 is a wasteful number, since it uses less digits than its factorization.

138549070420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703850 (or 703835 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 138549070420800 in words is "one hundred thirty-eight trillion, five hundred forty-nine billion, seventy million, four hundred twenty thousand, eight hundred".