137378003 has 32 divisors (see below), whose sum is σ = 175125888. Its totient is φ = 105062400.

The previous prime is 137377993. The next prime is 137378027. The reversal of 137378003 is 300873731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137378003 - 2¹⁴ = 137361619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137378083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180143 + ... + 180903.

It is an arithmetic number, because the mean of its divisors is an integer number (5472684).

Almost surely, 2^137378003 is an apocalyptic number.

137378003 is a deficient number, since it is larger than the sum of its proper divisors (37747885).

137378003 is a wasteful number, since it uses less digits than its factorization.

137378003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 137378003 is about 11720.8362756247. The cubic root of 137378003 is about 515.9873639816.

The spelling of 137378003 in words is "one hundred thirty-seven million, three hundred seventy-eight thousand, three".