137048064 has 104 divisors (see below), whose sum is σ = 385304640. Its totient is φ = 43204608.

The previous prime is 137048063. The next prime is 137048069. The reversal of 137048064 is 460840731.

It is a super-2 number, since 2×137048064² = 37564343692296192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137048063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233179 + ... + 233765.

Almost surely, 2^137048064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192652320).

137048064 is an abundant number, since it is smaller than the sum of its proper divisors (248256576).

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

137048064 is an equidigital number, since it uses as much as digits as its factorization.

137048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 137048064 is about 11706.7529229928. The cubic root of 137048064 is about 515.5739527499.

Adding to 137048064 its reverse (460840731), we get a palindrome (597888795).

The spelling of 137048064 in words is "one hundred thirty-seven million, forty-eight thousand, sixty-four".