137434320 has 200 divisors, whose sum is σ = 483969024. Its totient is φ = 36142848.

The previous prime is 137434309. The next prime is 137434333. The reversal of 137434320 is 23434731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 822877 + ... + 823043.

Almost surely, 2^137434320 is an apocalyptic number.

137434320 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 137434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241984512).

137434320 is an abundant number, since it is smaller than the sum of its proper divisors (346534704).

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

137434320 is a wasteful number, since it uses less digits than its factorization.

137434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 137434320 is about 11723.2384604255. The cubic root of 137434320 is about 516.0578626297.

The spelling of 137434320 in words is "one hundred thirty-seven million, four hundred thirty-four thousand, three hundred twenty".