137133333088003 has 32 divisors (see below), whose sum is σ = 166220161136640. Its totient is φ = 110514598871040.

The previous prime is 137133333088001. The next prime is 137133333088021. The reversal of 137133333088003 is 300880333331731.

It is not a de Polignac number, because 137133333088003 - 2¹ = 137133333088001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137133333088001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68674563 + ... + 70643203.

It is an arithmetic number, because the mean of its divisors is an integer number (5194380035520).

Almost surely, 2^{137133333088003} is an apocalyptic number.

137133333088003 is a deficient number, since it is larger than the sum of its proper divisors (29086828048637).

137133333088003 is a wasteful number, since it uses less digits than its factorization.

137133333088003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972627.

The product of its (nonzero) digits is 979776, while the sum is 46.

The spelling of 137133333088003 in words is "one hundred thirty-seven trillion, one hundred thirty-three billion, three hundred thirty-three million, eighty-eight thousand, three".