137650765824 has 704 divisors, whose sum is σ = 507342890880. Its totient is φ = 36238786560.

The previous prime is 137650765783. The next prime is 137650765877. The reversal of 137650765824 is 428567056731.

137650765824 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 50 + 7 + 6 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8097103864 + ... + 8097103880.

Almost surely, 2^137650765824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137650765824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253671445440).

137650765824 is an abundant number, since it is smaller than the sum of its proper divisors (369692125056).

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

137650765824 is an frugal number, since it uses more digits than its factorization.

137650765824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 137650765824 in words is "one hundred thirty-seven billion, six hundred fifty million, seven hundred sixty-five thousand, eight hundred twenty-four".