137115055800 has 192 divisors, whose sum is σ = 480028725600. Its totient is φ = 35964518400.

The previous prime is 137115055769. The next prime is 137115055813. The reversal of 137115055800 is 8550511731.

137115055800 is a `hidden beast` number, since 1 + 3 + 71 + 1 + 5 + 0 + 5 + 580 + 0 = 666.

It is a super-3 number, since 3×137115055800³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121272 + ... + 537528.

Almost surely, 2^137115055800 is an apocalyptic number.

137115055800 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 137115055800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240014362800).

137115055800 is an abundant number, since it is smaller than the sum of its proper divisors (342913669800).

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

137115055800 is a wasteful number, since it uses less digits than its factorization.

137115055800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416343 (or 416328 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

The spelling of 137115055800 in words is "one hundred thirty-seven billion, one hundred fifteen million, fifty-five thousand, eight hundred".