137283500 has 96 divisors (see below), whose sum is σ = 328333824. Its totient is φ = 49920000.

The previous prime is 137283467. The next prime is 137283547. The reversal of 137283500 is 5382731.

137283500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263240 + ... + 263760.

It is an arithmetic number, because the mean of its divisors is an integer number (3420144).

Almost surely, 2^137283500 is an apocalyptic number.

137283500 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 137283500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164166912).

137283500 is an abundant number, since it is smaller than the sum of its proper divisors (191050324).

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

137283500 is a wasteful number, since it uses less digits than its factorization.

137283500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 137283500 is about 11716.8041717868. The cubic root of 137283500 is about 515.8690200974.

The spelling of 137283500 in words is "one hundred thirty-seven million, two hundred eighty-three thousand, five hundred".