137868030 has 96 divisors (see below), whose sum is σ = 375204960. Its totient is φ = 35078400.

The previous prime is 137867993. The next prime is 137868037. The reversal of 137868030 is 30868731.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137868037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263349 + ... + 263871.

It is an arithmetic number, because the mean of its divisors is an integer number (3908385).

Almost surely, 2^137868030 is an apocalyptic number.

137868030 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 137868030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187602480).

137868030 is an abundant number, since it is smaller than the sum of its proper divisors (237336930).

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

137868030 is a wasteful number, since it uses less digits than its factorization.

137868030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137868030 is about 11741.7217647158. The cubic root of 137868030 is about 516.6001445168.

The spelling of 137868030 in words is "one hundred thirty-seven million, eight hundred sixty-eight thousand, thirty".