137535706080 has 576 divisors, whose sum is σ = 504776059200. Its totient is φ = 35406305280.

The previous prime is 137535706073. The next prime is 137535706081. The reversal of 137535706080 is 80607535731.

137535706080 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 35 + 7 + 0 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137535706081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336272916 + ... + 336273324.

It is an arithmetic number, because the mean of its divisors is an integer number (876347325).

Almost surely, 2^137535706080 is an apocalyptic number.

137535706080 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 137535706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252388029600).

137535706080 is an abundant number, since it is smaller than the sum of its proper divisors (367240353120).

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

137535706080 is an frugal number, since it uses more digits than its factorization.

137535706080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 137535706080 in words is "one hundred thirty-seven billion, five hundred thirty-five million, seven hundred six thousand, eighty".