137883648 has 156 divisors (see below), whose sum is σ = 429536040. Its totient is φ = 39223296.

The previous prime is 137883637. The next prime is 137883701. The reversal of 137883648 is 846388731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 137883597 and 137883606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601998 + ... + 602226.

Almost surely, 2^137883648 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 137883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214768020).

137883648 is an abundant number, since it is smaller than the sum of its proper divisors (291652392).

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

137883648 is an equidigital number, since it uses as much as digits as its factorization.

137883648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 137883648 is about 11742.3868101847. The cubic root of 137883648 is about 516.6196509883.

It can be divided in two parts, 137 and 883648, that added together give a triangular number (883785 = T₁₃₂₉).

The spelling of 137883648 in words is "one hundred thirty-seven million, eight hundred eighty-three thousand, six hundred forty-eight".