137443644 has 216 divisors, whose sum is σ = 419655600. Its totient is φ = 37739520.

The previous prime is 137443643. The next prime is 137443661. The reversal of 137443644 is 446344731.

137443644 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 4 + 3 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 137443599 and 137443608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137443643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3352264 + ... + 3352304.

It is an arithmetic number, because the mean of its divisors is an integer number (1942850).

Almost surely, 2^137443644 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 137443644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209827800).

137443644 is an abundant number, since it is smaller than the sum of its proper divisors (282211956).

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

137443644 is a wasteful number, since it uses less digits than its factorization.

137443644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 137443644 is about 11723.6361253666. The cubic root of 137443644 is about 516.0695327246.

The spelling of 137443644 in words is "one hundred thirty-seven million, four hundred forty-three thousand, six hundred forty-four".