137867072 has 56 divisors (see below), whose sum is σ = 313822080. Its totient is φ = 58867200.

The previous prime is 137867063. The next prime is 137867117. The reversal of 137867072 is 270768731.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 196322 + ... + 197022.

Almost surely, 2^137867072 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 137867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156911040).

137867072 is an abundant number, since it is smaller than the sum of its proper divisors (175955008).

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

137867072 is an equidigital number, since it uses as much as digits as its factorization.

137867072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The square root of 137867072 is about 11741.6809699463. The cubic root of 137867072 is about 516.5989479520.

The spelling of 137867072 in words is "one hundred thirty-seven million, eight hundred sixty-seven thousand, seventy-two".