137034828 has 240 divisors, whose sum is σ = 444939264. Its totient is φ = 35925120.

The previous prime is 137034827. The next prime is 137034869. The reversal of 137034828 is 828430731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137034792 and 137034801.

It is not an unprimeable number, because it can be changed into a prime (137034827) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1930033 + ... + 1930103.

Almost surely, 2^137034828 is an apocalyptic number.

137034828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137034828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222469632).

137034828 is an abundant number, since it is smaller than the sum of its proper divisors (307904436).

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

137034828 is a wasteful number, since it uses less digits than its factorization.

137034828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 137034828 is about 11706.1875946014. The cubic root of 137034828 is about 515.5573542994.

The spelling of 137034828 in words is "one hundred thirty-seven million, thirty-four thousand, eight hundred twenty-eight".