137026890 has 320 divisors, whose sum is σ = 497629440. Its totient is φ = 26282880.

The previous prime is 137026871. The next prime is 137026891. The reversal of 137026890 is 98620731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137026891) 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 159 ways as a sum of consecutive naturals, for example, 10540524 + ... + 10540536.

It is an arithmetic number, because the mean of its divisors is an integer number (1555092).

Almost surely, 2^137026890 is an apocalyptic number.

137026890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137026890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720).

137026890 is an abundant number, since it is smaller than the sum of its proper divisors (360602550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137026890 is a wasteful number, since it uses less digits than its factorization.

137026890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 137026890 is about 11705.8485382308. The cubic root of 137026890 is about 515.5473992309.

The spelling of 137026890 in words is "one hundred thirty-seven million, twenty-six thousand, eight hundred ninety".