137199472220160 has 768 divisors, whose sum is σ = 557731923840000. Its totient is φ = 31339677745152.

The previous prime is 137199472220143. The next prime is 137199472220207. The reversal of 137199472220160 is 61022274991731.

137199472220160 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 9 + 9 + 472 + 2 + 2 + 0 + 160 = 666.

137199472220160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 137199472220097 and 137199472220106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3113972211 + ... + 3114016269.

It is an arithmetic number, because the mean of its divisors is an integer number (726213442500).

Almost surely, 2^{137199472220160} is an apocalyptic number.

137199472220160 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 137199472220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278865961920000).

137199472220160 is an abundant number, since it is smaller than the sum of its proper divisors (420532451619840).

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

137199472220160 is a wasteful number, since it uses less digits than its factorization.

137199472220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45711 (or 45685 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 137199472220160 in words is "one hundred thirty-seven trillion, one hundred ninety-nine billion, four hundred seventy-two million, two hundred twenty thousand, one hundred sixty".