137106383960 has 128 divisors (see below), whose sum is σ = 380009508480. Its totient is φ = 43354165248.

The previous prime is 137106383933. The next prime is 137106383971. The reversal of 137106383960 is 69383601731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4326734 + ... + 4358306.

It is an arithmetic number, because the mean of its divisors is an integer number (2968824285).

Almost surely, 2^137106383960 is an apocalyptic number.

137106383960 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 137106383960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190004754240).

137106383960 is an abundant number, since it is smaller than the sum of its proper divisors (242903124520).

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

137106383960 is a wasteful number, since it uses less digits than its factorization.

137106383960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32797 (or 32793 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 137106383960 in words is "one hundred thirty-seven billion, one hundred six million, three hundred eighty-three thousand, nine hundred sixty".