137943135 has 64 divisors (see below), whose sum is σ = 281664000. Its totient is φ = 63348480.

The previous prime is 137943119. The next prime is 137943137. The reversal of 137943135 is 531349731.

137943135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137943135 - 2⁴ = 137943119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137943135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137943137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25771 + ... + 30659.

It is an arithmetic number, because the mean of its divisors is an integer number (4401000).

Almost surely, 2^137943135 is an apocalyptic number.

137943135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137943135 is an abundant number, since it is smaller than the sum of its proper divisors (143720865).

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

137943135 is a wasteful number, since it uses less digits than its factorization.

137943135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4927 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 137943135 is about 11744.9195399543. The cubic root of 137943135 is about 516.6939352009.

The spelling of 137943135 in words is "one hundred thirty-seven million, nine hundred forty-three thousand, one hundred thirty-five".