137787026440 has 256 divisors, whose sum is σ = 392781312000. Its totient is φ = 42412170240.

The previous prime is 137787026437. The next prime is 137787026491. The reversal of 137787026440 is 44620787731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13332075 + ... + 13342405.

It is an arithmetic number, because the mean of its divisors is an integer number (1534302000).

Almost surely, 2^137787026440 is an apocalyptic number.

137787026440 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 137787026440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196390656000).

137787026440 is an abundant number, since it is smaller than the sum of its proper divisors (254994285560).

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

137787026440 is a wasteful number, since it uses less digits than its factorization.

137787026440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10500 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 49.

The spelling of 137787026440 in words is "one hundred thirty-seven billion, seven hundred eighty-seven million, twenty-six thousand, four hundred forty".