137085228 has 72 divisors (see below), whose sum is σ = 416881920. Its totient is φ = 37104480.

The previous prime is 137085211. The next prime is 137085257. The reversal of 137085228 is 822580731.

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 = 137085192 and 137085201.

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 23 ways as a sum of consecutive naturals, for example, 9528 + ... + 19103.

Almost surely, 2^137085228 is an apocalyptic number.

137085228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137085228 is an abundant number, since it is smaller than the sum of its proper divisors (279796692).

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

137085228 is a wasteful number, since it uses less digits than its factorization.

137085228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28667 (or 28662 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 137085228 is about 11708.3401043871. The cubic root of 137085228 is about 515.6205521159.

The spelling of 137085228 in words is "one hundred thirty-seven million, eighty-five thousand, two hundred twenty-eight".