137027440 has 80 divisors (see below), whose sum is σ = 358834176. Its totient is φ = 48211200.

The previous prime is 137027383. The next prime is 137027461. The reversal of 137027440 is 44720731.

137027440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 137027399 and 137027408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24769 + ... + 29791.

Almost surely, 2^137027440 is an apocalyptic number.

137027440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179417088).

137027440 is an abundant number, since it is smaller than the sum of its proper divisors (221806736).

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

137027440 is a wasteful number, since it uses less digits than its factorization.

137027440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 137027440 is about 11705.8720307374. The cubic root of 137027440 is about 515.5480889999.

The spelling of 137027440 in words is "one hundred thirty-seven million, twenty-seven thousand, four hundred forty".