137627672 has 96 divisors (see below), whose sum is σ = 327499200. Its totient is φ = 53738496.

The previous prime is 137627671. The next prime is 137627681. The reversal of 137627672 is 276726731.

It is a super-2 number, since 2×137627672² = 37882752200279168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137627671) 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 23 ways as a sum of consecutive naturals, for example, 575729 + ... + 575967.

It is an arithmetic number, because the mean of its divisors is an integer number (3411450).

Almost surely, 2^137627672 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 137627672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163749600).

137627672 is an abundant number, since it is smaller than the sum of its proper divisors (189871528).

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

137627672 is a wasteful number, since it uses less digits than its factorization.

137627672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its digits is 148176, while the sum is 41.

The square root of 137627672 is about 11731.4820888070. The cubic root of 137627672 is about 516.2997577244.

The spelling of 137627672 in words is "one hundred thirty-seven million, six hundred twenty-seven thousand, six hundred seventy-two".