137430 has 32 divisors (see below), whose sum is σ = 367200. Its totient is φ = 36576.

The previous prime is 137413. The next prime is 137437. The reversal of 137430 is 34731.

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

It is a d-powerful number, because it can be written as 1 + 3⁴ + 4² + 7⁶ + 3⁹ + 0 .

It is a Curzon number.

It is a plaindrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137437) by changing a digit.

137430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2¹³⁷⁴³⁰ is an apocalyptic number.

137430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183600).

137430 is an abundant number, since it is smaller than the sum of its proper divisors (229770).

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

137430 is a wasteful number, since it uses less digits than its factorization.

137430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 137430 is about 370.7155243580. The cubic root of 137430 is about 51.6052455457.

The spelling of 137430 in words is "one hundred thirty-seven thousand, four hundred thirty".