137226825 has 48 divisors (see below), whose sum is σ = 253376640. Its totient is φ = 72815040.

The previous prime is 137226799. The next prime is 137226833. The reversal of 137226825 is 528622731.

137226825 = T₁₆₆ + T₁₆₇ + ... + T₉₃₈.

137226825 is a `hidden beast` number, since 1 + 372 + 268 + 25 = 666.

It is not a de Polignac number, because 137226825 - 2¹⁰ = 137225801 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137226825.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 177139 + ... + 177911.

It is an arithmetic number, because the mean of its divisors is an integer number (5278680).

Almost surely, 2^137226825 is an apocalyptic number.

137226825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137226825 is a deficient number, since it is larger than the sum of its proper divisors (116149815).

137226825 is a wasteful number, since it uses less digits than its factorization.

137226825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1044 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 137226825 is about 11714.3853872066. The cubic root of 137226825 is about 515.7980212740.

The spelling of 137226825 in words is "one hundred thirty-seven million, two hundred twenty-six thousand, eight hundred twenty-five".