137775319840 has 96 divisors (see below), whose sum is σ = 328766906160. Its totient is φ = 54556913664.

The previous prime is 137775319817. The next prime is 137775319919. The reversal of 137775319840 is 48913577731.

It can be written as a sum of positive squares in 8 ways, for example, as 116000185744 + 21775134096 = 340588^2 + 147564^2 .

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, 25337602 + ... + 25343038.

Almost surely, 2^137775319840 is an apocalyptic number.

137775319840 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 137775319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164383453080).

137775319840 is an abundant number, since it is smaller than the sum of its proper divisors (190991586320).

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

137775319840 is a wasteful number, since it uses less digits than its factorization.

137775319840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 137775319840 in words is "one hundred thirty-seven billion, seven hundred seventy-five million, three hundred nineteen thousand, eight hundred forty".