137827557800 has 96 divisors (see below), whose sum is σ = 339854107320. Its totient is φ = 51803136000.

The previous prime is 137827557793. The next prime is 137827557809. The reversal of 137827557800 is 8755728731.

It can be written as a sum of positive squares in 12 ways, for example, as 19192777444 + 118634780356 = 138538^2 + 344434^2 .

It is a super-2 number, since 2×137827557800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137827557809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2064950 + ... + 2130650.

Almost surely, 2^137827557800 is an apocalyptic number.

137827557800 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 137827557800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169927053660).

137827557800 is an abundant number, since it is smaller than the sum of its proper divisors (202026549520).

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

137827557800 is a wasteful number, since it uses less digits than its factorization.

137827557800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66351 (or 66342 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 53.

The spelling of 137827557800 in words is "one hundred thirty-seven billion, eight hundred twenty-seven million, five hundred fifty-seven thousand, eight hundred".