137534112 has 144 divisors (see below), whose sum is σ = 423783360. Its totient is φ = 43794432.

The previous prime is 137534107. The next prime is 137534119. The reversal of 137534112 is 211435731.

137534112 is a `hidden beast` number, since 13 + 7 + 534 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (137534119) 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, 178464 + ... + 179232.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2^137534112 is an apocalyptic number.

137534112 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 137534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211891680).

137534112 is an abundant number, since it is smaller than the sum of its proper divisors (286249248).

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

137534112 is an equidigital number, since it uses as much as digits as its factorization.

137534112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 797 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 137534112 is about 11727.4938499238. The cubic root of 137534112 is about 516.1827367921.

Adding to 137534112 its reverse (211435731), we get a palindrome (348969843).

The spelling of 137534112 in words is "one hundred thirty-seven million, five hundred thirty-four thousand, one hundred twelve".