137009700 has 216 divisors, whose sum is σ = 454970880. Its totient is φ = 34444800.

The previous prime is 137009671. The next prime is 137009701. The reversal of 137009700 is 7900731.

137009700 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 (137009701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1734261 + ... + 1734339.

Almost surely, 2^137009700 is an apocalyptic number.

137009700 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 137009700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

137009700 is an abundant number, since it is smaller than the sum of its proper divisors (317961180).

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

137009700 is a wasteful number, since it uses less digits than its factorization.

137009700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 137009700 is about 11705.1142668493. The cubic root of 137009700 is about 515.5258398849.

The spelling of 137009700 in words is "one hundred thirty-seven million, nine thousand, seven hundred".