137527478286336 has 144 divisors (see below), whose sum is σ = 397235309496480. Its totient is φ = 45838949253120.

The previous prime is 137527478286313. The next prime is 137527478286379. The reversal of 137527478286336 is 633682874725731.

137527478286336 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 2 + 7 + 4 + 7 + 8 + 286 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243776361 + ... + 244339863.

It is an arithmetic number, because the mean of its divisors is an integer number (2758578538170).

Almost surely, 2^{137527478286336} is an apocalyptic number.

137527478286336 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 137527478286336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198617654748240).

137527478286336 is an abundant number, since it is smaller than the sum of its proper divisors (259707831210144).

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

137527478286336 is a wasteful number, since it uses less digits than its factorization.

137527478286336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576772 (or 576749 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 137527478286336 in words is "one hundred thirty-seven trillion, five hundred twenty-seven billion, four hundred seventy-eight million, two hundred eighty-six thousand, three hundred thirty-six".