137160085440 has 448 divisors, whose sum is σ = 534222618624. Its totient is φ = 29100736512.

The previous prime is 137160085411. The next prime is 137160085441. The reversal of 137160085440 is 44580061731.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137160085441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8331297 + ... + 8347743.

Almost surely, 2^137160085440 is an apocalyptic number.

137160085440 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 137160085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267111309312).

137160085440 is an abundant number, since it is smaller than the sum of its proper divisors (397062533184).

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

137160085440 is a wasteful number, since it uses less digits than its factorization.

137160085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16564 (or 16554 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 137160085440 in words is "one hundred thirty-seven billion, one hundred sixty million, eighty-five thousand, four hundred forty".