137272320 has 220 divisors, whose sum is σ = 493392504. Its totient is φ = 36495360.

The previous prime is 137272301. The next prime is 137272327. The reversal of 137272320 is 23272731.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137272327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414555 + ... + 414885.

Almost surely, 2^137272320 is an apocalyptic number.

137272320 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 137272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246696252).

137272320 is an abundant number, since it is smaller than the sum of its proper divisors (356120184).

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

137272320 is an equidigital number, since it uses as much as digits as its factorization.

137272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137272320 is about 11716.3270695214. The cubic root of 137272320 is about 515.8550160542.

The spelling of 137272320 in words is "one hundred thirty-seven million, two hundred seventy-two thousand, three hundred twenty".