137013678 has 24 divisors (see below), whose sum is σ = 297201216. Its totient is φ = 45619200.

The previous prime is 137013673. The next prime is 137013703. The reversal of 137013678 is 876310731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137013673) 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 11 ways as a sum of consecutive naturals, for example, 13998 + ... + 21678.

It is an arithmetic number, because the mean of its divisors is an integer number (12383384).

Almost surely, 2^137013678 is an apocalyptic number.

137013678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137013678 is an abundant number, since it is smaller than the sum of its proper divisors (160187538).

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

137013678 is a wasteful number, since it uses less digits than its factorization.

137013678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8680 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 137013678 is about 11705.2841913385. The cubic root of 137013678 is about 515.5308291714.

The spelling of 137013678 in words is "one hundred thirty-seven million, thirteen thousand, six hundred seventy-eight".