137021700 has 144 divisors (see below), whose sum is σ = 427097664. Its totient is φ = 33792000.

The previous prime is 137021699. The next prime is 137021707. The reversal of 137021700 is 7120731.

It is not an unprimeable number, because it can be changed into a prime (137021707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341500 + ... + 341900.

It is an arithmetic number, because the mean of its divisors is an integer number (2965956).

Almost surely, 2^137021700 is an apocalyptic number.

137021700 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 137021700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213548832).

137021700 is an abundant number, since it is smaller than the sum of its proper divisors (290075964).

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

137021700 is a wasteful number, since it uses less digits than its factorization.

137021700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 137021700 is about 11705.6268520742. The cubic root of 137021700 is about 515.5408902292.

The spelling of 137021700 in words is "one hundred thirty-seven million, twenty-one thousand, seven hundred".