137643264 has 108 divisors (see below), whose sum is σ = 433017312. Its totient is φ = 41702400.

The previous prime is 137643263. The next prime is 137643281. The reversal of 137643264 is 462346731.

It is a happy number.

137643264 is a `hidden beast` number, since 1 + 3 + 7 + 643 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137643263) 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 11 ways as a sum of consecutive naturals, for example, 22629 + ... + 28059.

Almost surely, 2^137643264 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 137643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216508656).

137643264 is an abundant number, since it is smaller than the sum of its proper divisors (295374048).

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

137643264 is a wasteful number, since it uses less digits than its factorization.

137643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5447 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 137643264 is about 11732.1466066530. The cubic root of 137643264 is about 516.3192543894.

Adding to 137643264 its reverse (462346731), we get a palindrome (599989995).

The spelling of 137643264 in words is "one hundred thirty-seven million, six hundred forty-three thousand, two hundred sixty-four".