137120112 has 120 divisors (see below), whose sum is σ = 421699200. Its totient is φ = 41399424.

The previous prime is 137120101. The next prime is 137120117. The reversal of 137120112 is 211021731.

It is a happy number.

It is a super-2 number, since 2×137120112² = 37603850229785088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137120117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61839 + ... + 64017.

It is an arithmetic number, because the mean of its divisors is an integer number (3514160).

Almost surely, 2^137120112 is an apocalyptic number.

137120112 is a gapful number since it is divisible by the number (12) 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 137120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210849600).

137120112 is an abundant number, since it is smaller than the sum of its proper divisors (284579088).

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

137120112 is a wasteful number, since it uses less digits than its factorization.

137120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 137120112 is about 11709.8297169515. The cubic root of 137120112 is about 515.6642849628.

Adding to 137120112 its reverse (211021731), we get a palindrome (348141843).

The spelling of 137120112 in words is "one hundred thirty-seven million, one hundred twenty thousand, one hundred twelve".