137893052 has 36 divisors (see below), whose sum is σ = 280864080. Its totient is φ = 58988160.

The previous prime is 137893039. The next prime is 137893087. The reversal of 137893052 is 250398731.

It is a junction number, because it is equal to n+sod(n) for n = 137892997 and 137893015.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 152 + ... + 16607.

It is an arithmetic number, because the mean of its divisors is an integer number (7801780).

Almost surely, 2^137893052 is an apocalyptic number.

It is an amenable number.

137893052 is an abundant number, since it is smaller than the sum of its proper divisors (142971028).

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

137893052 is a wasteful number, since it uses less digits than its factorization.

137893052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16802 (or 16789 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 137893052 is about 11742.7872330210. The cubic root of 137893052 is about 516.6313956267.

The spelling of 137893052 in words is "one hundred thirty-seven million, eight hundred ninety-three thousand, fifty-two".