137423865600 has 1728 divisors, whose sum is σ = 628489774080. Its totient is φ = 28665446400.

The previous prime is 137423865577. The next prime is 137423865629. The reversal of 137423865600 is 6568324731.

137423865600 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 2 + 3 + 86 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 843091119 + ... + 843091281.

It is an arithmetic number, because the mean of its divisors is an integer number (363709360).

Almost surely, 2^137423865600 is an apocalyptic number.

137423865600 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 137423865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314244887040).

137423865600 is an abundant number, since it is smaller than the sum of its proper divisors (491065908480).

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

137423865600 is a wasteful number, since it uses less digits than its factorization.

137423865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 137423865600 in words is "one hundred thirty-seven billion, four hundred twenty-three million, eight hundred sixty-five thousand, six hundred".