137255920200 has 768 divisors, whose sum is σ = 571963392000. Its totient is φ = 29553776640.

The previous prime is 137255920187. The next prime is 137255920229. The reversal of 137255920200 is 2029552731.

137255920200 is a `hidden beast` number, since 13 + 72 + 559 + 2 + 0 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160158172 + ... + 160159028.

It is an arithmetic number, because the mean of its divisors is an integer number (744744000).

Almost surely, 2^137255920200 is an apocalyptic number.

137255920200 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 137255920200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285981696000).

137255920200 is an abundant number, since it is smaller than the sum of its proper divisors (434707471800).

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

137255920200 is a wasteful number, since it uses less digits than its factorization.

137255920200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 137255920200 in words is "one hundred thirty-seven billion, two hundred fifty-five million, nine hundred twenty thousand, two hundred".