137263373 has 16 divisors (see below), whose sum is σ = 150371760. Its totient is φ = 124540416.

The previous prime is 137263363. The next prime is 137263387. The reversal of 137263373 is 373362731.

It can be written as a sum of positive squares in 8 ways, for example, as 32467204 + 104796169 = 5698^2 + 10237^2 .

It is not a de Polignac number, because 137263373 - 2⁶ = 137263309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137263363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222161 + ... + 222777.

It is an arithmetic number, because the mean of its divisors is an integer number (9398235).

Almost surely, 2^137263373 is an apocalyptic number.

137263373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137263373 is a deficient number, since it is larger than the sum of its proper divisors (13108387).

137263373 is a wasteful number, since it uses less digits than its factorization.

137263373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896.

The product of its digits is 47628, while the sum is 35.

The square root of 137263373 is about 11715.9452456897. The cubic root of 137263373 is about 515.8438085140.

The spelling of 137263373 in words is "one hundred thirty-seven million, two hundred sixty-three thousand, three hundred seventy-three".