137522200320 has 216 divisors, whose sum is σ = 478311305472. Its totient is φ = 36480000000.

The previous prime is 137522200307. The next prime is 137522200379. The reversal of 137522200320 is 23002225731.

It is a happy number.

137522200320 is a `hidden beast` number, since 137 + 5 + 2 + 2 + 200 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2169070 + ... + 2231570.

It is an arithmetic number, because the mean of its divisors is an integer number (2214404192).

Almost surely, 2^137522200320 is an apocalyptic number.

137522200320 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 137522200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239155652736).

137522200320 is an abundant number, since it is smaller than the sum of its proper divisors (340789105152).

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

137522200320 is a wasteful number, since it uses less digits than its factorization.

137522200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62719 (or 62702 counting only the distinct ones).

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

The spelling of 137522200320 in words is "one hundred thirty-seven billion, five hundred twenty-two million, two hundred thousand, three hundred twenty".