137018112 has 216 divisors, whose sum is σ = 464167872. Its totient is φ = 35481600.

The previous prime is 137018111. The next prime is 137018117. The reversal of 137018112 is 211810731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (137018111) 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, 413787 + ... + 414117.

Almost surely, 2^137018112 is an apocalyptic number.

137018112 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 137018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232083936).

137018112 is an abundant number, since it is smaller than the sum of its proper divisors (327149760).

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

137018112 is a wasteful number, since it uses less digits than its factorization.

137018112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 137018112 is about 11705.4735914443. The cubic root of 137018112 is about 515.5363902683.

Adding to 137018112 its reverse (211810731), we get a palindrome (348828843).

The spelling of 137018112 in words is "one hundred thirty-seven million, eighteen thousand, one hundred twelve".