137531064 has 64 divisors (see below), whose sum is σ = 376202880. Its totient is φ = 41552000.

The previous prime is 137531041. The next prime is 137531113. The reversal of 137531064 is 460135731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129094 + ... + 130154.

It is an arithmetic number, because the mean of its divisors is an integer number (5878170).

Almost surely, 2^137531064 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 137531064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188101440).

137531064 is an abundant number, since it is smaller than the sum of its proper divisors (238671816).

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

137531064 is a wasteful number, since it uses less digits than its factorization.

137531064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137531064 is about 11727.3638981657. The cubic root of 137531064 is about 516.1789235888.

Adding to 137531064 its reverse (460135731), we get a palindrome (597666795).

The spelling of 137531064 in words is "one hundred thirty-seven million, five hundred thirty-one thousand, sixty-four".