137018700 has 324 divisors, whose sum is σ = 540277920. Its totient is φ = 28788480.

The previous prime is 137018689. The next prime is 137018701. The reversal of 137018700 is 7810731.

137018700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137018701) 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 107 ways as a sum of consecutive naturals, for example, 573181 + ... + 573419.

Almost surely, 2^137018700 is an apocalyptic number.

137018700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137018700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270138960).

137018700 is an abundant number, since it is smaller than the sum of its proper divisors (403259220).

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

137018700 is a wasteful number, since it uses less digits than its factorization.

137018700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 137018700 is about 11705.4987078723. The cubic root of 137018700 is about 515.5371277255.

The spelling of 137018700 in words is "one hundred thirty-seven million, eighteen thousand, seven hundred".