137280000 has 400 divisors, whose sum is σ = 536903136. Its totient is φ = 30720000.

The previous prime is 137279957. The next prime is 137280001. The reversal of 137280000 is 82731.

137280000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (137280001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10559994 + ... + 10560006.

Almost surely, 2^137280000 is an apocalyptic number.

137280000 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 137280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268451568).

137280000 is an abundant number, since it is smaller than the sum of its proper divisors (399623136).

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

137280000 is an equidigital number, since it uses as much as digits as its factorization.

137280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 137280000 is about 11716.6548127014. The cubic root of 137280000 is about 515.8646360869.

The spelling of 137280000 in words is "one hundred thirty-seven million, two hundred eighty thousand".