137851728 has 80 divisors (see below), whose sum is σ = 414723456. Its totient is φ = 38638080.

The previous prime is 137851711. The next prime is 137851757. The reversal of 137851728 is 827158731.

It is a super-4 number, since 4×137851728⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 137851728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13938 + ... + 21678.

Almost surely, 2^137851728 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 137851728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207361728).

137851728 is an abundant number, since it is smaller than the sum of its proper divisors (276871728).

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

137851728 is a wasteful number, since it uses less digits than its factorization.

137851728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812 (or 7806 counting only the distinct ones).

The product of its digits is 94080, while the sum is 42.

The square root of 137851728 is about 11741.0275529870. The cubic root of 137851728 is about 516.5797821758.

The spelling of 137851728 in words is "one hundred thirty-seven million, eight hundred fifty-one thousand, seven hundred twenty-eight".