137872448 has 112 divisors (see below), whose sum is σ = 339571584. Its totient is φ = 54190080.

The previous prime is 137872447. The next prime is 137872457. The reversal of 137872448 is 844278731.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 137872399 and 137872408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137872447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327278 + ... + 327698.

Almost surely, 2^137872448 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 137872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169785792).

137872448 is an abundant number, since it is smaller than the sum of its proper divisors (201699136).

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

137872448 is a wasteful number, since it uses less digits than its factorization.

137872448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its digits is 301056, while the sum is 44.

The square root of 137872448 is about 11741.9098957538. The cubic root of 137872448 is about 516.6056626321.

The spelling of 137872448 in words is "one hundred thirty-seven million, eight hundred seventy-two thousand, four hundred forty-eight".