137378553 has 16 divisors (see below), whose sum is σ = 197527680. Its totient is φ = 84426624.

The previous prime is 137378533. The next prime is 137378557. The reversal of 137378553 is 355873731.

It is not a de Polignac number, because 137378553 - 2⁶ = 137378489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137378557) 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, 33925 + ... + 37757.

It is an arithmetic number, because the mean of its divisors is an integer number (12345480).

Almost surely, 2^137378553 is an apocalyptic number.

137378553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137378553 is a deficient number, since it is larger than the sum of its proper divisors (60149127).

137378553 is a wasteful number, since it uses less digits than its factorization.

137378553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768.

The product of its digits is 264600, while the sum is 42.

The square root of 137378553 is about 11720.8597380909. The cubic root of 137378553 is about 515.9880525748.

The spelling of 137378553 in words is "one hundred thirty-seven million, three hundred seventy-eight thousand, five hundred fifty-three".