137587211296890 has 16 divisors (see below), whose sum is σ = 330209307112608. Its totient is φ = 36689923012496.

The previous prime is 137587211296889. The next prime is 137587211296891. The reversal of 137587211296890 is 98692112785731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137587211296889) and next prime (137587211296891).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (137587211296891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293120188252 + ... + 2293120188311.

It is an arithmetic number, because the mean of its divisors is an integer number (20638081694538).

Almost surely, 2^{137587211296890} is an apocalyptic number.

137587211296890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137587211296890 is an abundant number, since it is smaller than the sum of its proper divisors (192622095815718).

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

137587211296890 is a wasteful number, since it uses less digits than its factorization.

137587211296890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586240376573.

The product of its (nonzero) digits is 91445760, while the sum is 69.

The spelling of 137587211296890 in words is "one hundred thirty-seven trillion, five hundred eighty-seven billion, two hundred eleven million, two hundred ninety-six thousand, eight hundred ninety".