137943854064 has 400 divisors, whose sum is σ = 429557078016. Its totient is φ = 42652915200.

The previous prime is 137943854053. The next prime is 137943854107. The reversal of 137943854064 is 460458349731.

137943854064 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 4 + 38 + 540 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137943854064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105541699 + ... + 105543005.

Almost surely, 2^137943854064 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 137943854064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214778539008).

137943854064 is an abundant number, since it is smaller than the sum of its proper divisors (291613223952).

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

137943854064 is a wasteful number, since it uses less digits than its factorization.

137943854064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 137943854064 in words is "one hundred thirty-seven billion, nine hundred forty-three million, eight hundred fifty-four thousand, sixty-four".