138142195200 has 720 divisors, whose sum is σ = 535250491776. Its totient is φ = 35218022400.

The previous prime is 138142195193. The next prime is 138142195229. The reversal of 138142195200 is 2591241831.

138142195200 is a `hidden beast` number, since 1 + 3 + 81 + 42 + 19 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 71538235 + ... + 71540165.

Almost surely, 2^138142195200 is an apocalyptic number.

138142195200 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 138142195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267625245888).

138142195200 is an abundant number, since it is smaller than the sum of its proper divisors (397108296576).

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

138142195200 is an equidigital number, since it uses as much as digits as its factorization.

138142195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

It can be divided in two parts, 1381421 and 95200, that added together give a triangular number (1476621 = T₁₇₁₈).

The spelling of 138142195200 in words is "one hundred thirty-eight billion, one hundred forty-two million, one hundred ninety-five thousand, two hundred".