137284975636095 has 96 divisors (see below), whose sum is σ = 257810430018240. Its totient is φ = 62195965870080.

The previous prime is 137284975636031. The next prime is 137284975636111. The reversal of 137284975636095 is 590636579482731.

It is not a de Polignac number, because 137284975636095 - 2⁶ = 137284975636031 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720905251 + ... + 721095659.

It is an arithmetic number, because the mean of its divisors is an integer number (2685525312690).

It is a 1-persistent number, because it is pandigital, but 2⋅137284975636095 = 274569951272190 is not.

Almost surely, 2^{137284975636095} is an apocalyptic number.

137284975636095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137284975636095 is a deficient number, since it is larger than the sum of its proper divisors (120525454382145).

137284975636095 is a wasteful number, since it uses less digits than its factorization.

137284975636095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199225 (or 199218 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 75.

The spelling of 137284975636095 in words is "one hundred thirty-seven trillion, two hundred eighty-four billion, nine hundred seventy-five million, six hundred thirty-six thousand, ninety-five".