137851328 has 56 divisors (see below), whose sum is σ = 289681920. Its totient is φ = 64951040.

The previous prime is 137851321. The next prime is 137851367. The reversal of 137851328 is 823158731.

It is a happy number.

It is a super-4 number, since 4×137851328⁴ (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137851291 and 137851300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137851321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103853 + ... + 105171.

Almost surely, 2^137851328 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 137851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

137851328 is an abundant number, since it is smaller than the sum of its proper divisors (151830592).

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

137851328 is a wasteful number, since it uses less digits than its factorization.

137851328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1415 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 137851328 is about 11741.0105186905. The cubic root of 137851328 is about 516.5792825275.

The spelling of 137851328 in words is "one hundred thirty-seven million, eight hundred fifty-one thousand, three hundred twenty-eight".