137006100 has 288 divisors, whose sum is σ = 549964800. Its totient is φ = 28425600.

The previous prime is 137006099. The next prime is 137006119. The reversal of 137006100 is 1600731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207571 + ... + 208229.

It is an arithmetic number, because the mean of its divisors is an integer number (1909600).

Almost surely, 2^137006100 is an apocalyptic number.

137006100 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 137006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

137006100 is an abundant number, since it is smaller than the sum of its proper divisors (412958700).

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

137006100 is a wasteful number, since it uses less digits than its factorization.

137006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 137006100 is about 11704.9604869047. The cubic root of 137006100 is about 515.5213246102.

Adding to 137006100 its reverse (1600731), we get a palindrome (138606831).

The spelling of 137006100 in words is "one hundred thirty-seven million, six thousand, one hundred".