137272350 has 48 divisors (see below), whose sum is σ = 346227840. Its totient is φ = 35983200.

The previous prime is 137272337. The next prime is 137272351. The reversal of 137272350 is 53272731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137272351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1095 + ... + 16605.

It is an arithmetic number, because the mean of its divisors is an integer number (7213080).

Almost surely, 2^137272350 is an apocalyptic number.

137272350 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 137272350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173113920).

137272350 is an abundant number, since it is smaller than the sum of its proper divisors (208955490).

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

137272350 is a wasteful number, since it uses less digits than its factorization.

137272350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15585 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 137272350 is about 11716.3283497860. The cubic root of 137272350 is about 515.8550536331.

The spelling of 137272350 in words is "one hundred thirty-seven million, two hundred seventy-two thousand, three hundred fifty".