137851400080800 has 900 divisors, whose sum is σ = 586469225797686. Its totient is φ = 31508855884800.

The previous prime is 137851400080799. The next prime is 137851400080811. The reversal of 137851400080800 is 8080004158731.

It is a happy number.

137851400080800 is a `hidden beast` number, since 13 + 7 + 85 + 1 + 400 + 0 + 80 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 118574066845584 + 19277333235216 = 10889172^2 + 4390596^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-4 number, since 4×137851400080800⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 155141790 + ... + 156027810.

Almost surely, 2^{137851400080800} is an apocalyptic number.

137851400080800 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 137851400080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293234612898843).

137851400080800 is an abundant number, since it is smaller than the sum of its proper divisors (448617825716886).

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

137851400080800 is an frugal number, since it uses more digits than its factorization.

137851400080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886081 (or 886038 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 137851400080800 in words is "one hundred thirty-seven trillion, eight hundred fifty-one billion, four hundred million, eighty thousand, eight hundred".