137672128 has 56 divisors (see below), whose sum is σ = 300069504. Its totient is φ = 62150400.

The previous prime is 137672107. The next prime is 137672141. The reversal of 137672128 is 821276731.

It is a super-2 number, since 2×137672128² = 37907229656096768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116983 + ... + 118153.

It is an arithmetic number, because the mean of its divisors is an integer number (5358384).

Almost surely, 2^137672128 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 137672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150034752).

137672128 is an abundant number, since it is smaller than the sum of its proper divisors (162397376).

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

137672128 is a wasteful number, since it uses less digits than its factorization.

137672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1351 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 137672128 is about 11733.3766665866. The cubic root of 137672128 is about 516.3553428423.

The spelling of 137672128 in words is "one hundred thirty-seven million, six hundred seventy-two thousand, one hundred twenty-eight".