137966250240000 has 3600 divisors, whose sum is σ = 645415643772900. Its totient is φ = 29095428096000.

The previous prime is 137966250239989. The next prime is 137966250240037. The reversal of 137966250240000 is 42052669731.

137966250240000 is a `hidden beast` number, since 1 + 379 + 6 + 6 + 250 + 24 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 9279188222976 + 128687062017024 = 3046176^2 + 11344032^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 66044158956 + ... + 66044161044.

Almost surely, 2^{137966250240000} is an apocalyptic number.

137966250240000 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 137966250240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322707821886450).

137966250240000 is an abundant number, since it is smaller than the sum of its proper divisors (507449393532900).

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

137966250240000 is an equidigital number, since it uses as much as digits as its factorization.

137966250240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 137966250240000 in words is "one hundred thirty-seven trillion, nine hundred sixty-six billion, two hundred fifty million, two hundred forty thousand".