137263128 has 16 divisors (see below), whose sum is σ = 343157880. Its totient is φ = 45754368.

The previous prime is 137263127. The next prime is 137263129. The reversal of 137263128 is 821362731.

It is an interprime number because it is at equal distance from previous prime (137263127) and next prime (137263129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137263127) 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 3 ways as a sum of consecutive naturals, for example, 2859625 + ... + 2859672.

Almost surely, 2^137263128 is an apocalyptic number.

It is an amenable number.

137263128 is an abundant number, since it is smaller than the sum of its proper divisors (205894752).

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

137263128 is a wasteful number, since it uses less digits than its factorization.

137263128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719306 (or 5719302 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 137263128 is about 11715.9347898493. The cubic root of 137263128 is about 515.8435016057.

The spelling of 137263128 in words is "one hundred thirty-seven million, two hundred sixty-three thousand, one hundred twenty-eight".