137875381307136 has 576 divisors, whose sum is σ = 455817014177280. Its totient is φ = 41095326412800.

The previous prime is 137875381307101. The next prime is 137875381307159. The reversal of 137875381307136 is 631703183578731.

137875381307136 is a `hidden beast` number, since 1 + 3 + 7 + 87 + 538 + 1 + 3 + 0 + 7 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561069351 + ... + 561315033.

Almost surely, 2^{137875381307136} is an apocalyptic number.

137875381307136 is a gapful number since it is divisible by the number (16) 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 137875381307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227908507088640).

137875381307136 is an abundant number, since it is smaller than the sum of its proper divisors (317941632870144).

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

137875381307136 is an equidigital number, since it uses as much as digits as its factorization.

137875381307136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245802 (or 245760 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 137875381307136 in words is "one hundred thirty-seven trillion, eight hundred seventy-five billion, three hundred eighty-one million, three hundred seven thousand, one hundred thirty-six".