137756672 has 36 divisors (see below), whose sum is σ = 275774436. Its totient is φ = 68812800.

The previous prime is 137756659. The next prime is 137756687. The reversal of 137756672 is 276657731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130547 + ... + 131597.

It is an arithmetic number, because the mean of its divisors is an integer number (7660401).

Almost surely, 2^137756672 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 137756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137887218).

137756672 is an abundant number, since it is smaller than the sum of its proper divisors (138017764).

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

137756672 is an frugal number, since it uses more digits than its factorization.

137756672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1053 counting only the distinct ones).

The product of its digits is 370440, while the sum is 44.

The square root of 137756672 is about 11736.9788276200. The cubic root of 137756672 is about 516.4610185848.

The spelling of 137756672 in words is "one hundred thirty-seven million, seven hundred fifty-six thousand, six hundred seventy-two".