137820032 has 32 divisors (see below), whose sum is σ = 313788720. Its totient is φ = 59065344.

The previous prime is 137819999. The next prime is 137820041. The reversal of 137820032 is 230028731.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×137820032² = 37988722440962048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137819983 and 137820010.

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 3 ways as a sum of consecutive naturals, for example, 76013 + ... + 77804.

Almost surely, 2^137820032 is an apocalyptic number.

It is an amenable number.

137820032 is an abundant number, since it is smaller than the sum of its proper divisors (175968688).

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

137820032 is an equidigital number, since it uses as much as digits as its factorization.

137820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153838 (or 153826 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 137820032 is about 11739.6776787099. The cubic root of 137820032 is about 516.5401870541.

Adding to 137820032 its reverse (230028731), we get a palindrome (367848763).

The spelling of 137820032 in words is "one hundred thirty-seven million, eight hundred twenty thousand, thirty-two".