137200504320 has 640 divisors, whose sum is σ = 548896296960. Its totient is φ = 32182272000.

The previous prime is 137200504319. The next prime is 137200504321. The reversal of 137200504320 is 23405002731.

137200504320 is a `hidden beast` number, since 137 + 2 + 0 + 0 + 504 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (137200504319) and next prime (137200504321).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137200504321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23567010 + ... + 23572830.

It is an arithmetic number, because the mean of its divisors is an integer number (857650464).

Almost surely, 2^137200504320 is an apocalyptic number.

137200504320 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 137200504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274448148480).

137200504320 is an abundant number, since it is smaller than the sum of its proper divisors (411695792640).

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

137200504320 is a wasteful number, since it uses less digits than its factorization.

137200504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 137200504320 in words is "one hundred thirty-seven billion, two hundred million, five hundred four thousand, three hundred twenty".