137378065536 has 48 divisors (see below), whose sum is σ = 395319697110. Its totient is φ = 45792688128.

The previous prime is 137378065523. The next prime is 137378065537. The reversal of 137378065536 is 635560873731.

137378065536 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 7 + 80 + 6 + 553 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125843305536 + 11534760000 = 354744^2 + 107400^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (137378065537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59624745 + ... + 59627048.

Almost surely, 2^137378065536 is an apocalyptic number.

137378065536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137378065536 is an abundant number, since it is smaller than the sum of its proper divisors (257941631574).

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

137378065536 is a wasteful number, since it uses less digits than its factorization.

137378065536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119251813 (or 119251798 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 137378065536 in words is "one hundred thirty-seven billion, three hundred seventy-eight million, sixty-five thousand, five hundred thirty-six".