137052396362288 has 80 divisors (see below), whose sum is σ = 293224917987456. Its totient is φ = 61536421509120.

The previous prime is 137052396362243. The next prime is 137052396362291. The reversal of 137052396362288 is 882263693250731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253795 + ... + 16603517.

Almost surely, 2^{137052396362288} 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 137052396362288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146612458993728).

137052396362288 is an abundant number, since it is smaller than the sum of its proper divisors (156172521625168).

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

137052396362288 is a wasteful number, since it uses less digits than its factorization.

137052396362288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15350362 (or 15350356 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 65.

The spelling of 137052396362288 in words is "one hundred thirty-seven trillion, fifty-two billion, three hundred ninety-six million, three hundred sixty-two thousand, two hundred eighty-eight".