137672220 has 96 divisors (see below), whose sum is σ = 443229696. Its totient is φ = 31276800.

The previous prime is 137672179. The next prime is 137672221. The reversal of 137672220 is 22276731.

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 (137672221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75115 + ... + 76925.

It is an arithmetic number, because the mean of its divisors is an integer number (4616976).

Almost surely, 2^137672220 is an apocalyptic number.

137672220 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 137672220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221614848).

137672220 is an abundant number, since it is smaller than the sum of its proper divisors (305557476).

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

137672220 is a wasteful number, since it uses less digits than its factorization.

137672220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 137672220 is about 11733.3805870261. The cubic root of 137672220 is about 516.3554578612.

The spelling of 137672220 in words is "one hundred thirty-seven million, six hundred seventy-two thousand, two hundred twenty".