137412078080 has 160 divisors (see below), whose sum is σ = 351828195840. Its totient is φ = 51356712960.

The previous prime is 137412078073. The next prime is 137412078119. The reversal of 137412078080 is 80870214731.

It is a tau number, because it is divible by the number of its divisors (160).

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, 2271587 + ... + 2331293.

It is an arithmetic number, because the mean of its divisors is an integer number (2198926224).

Almost surely, 2^137412078080 is an apocalyptic number.

137412078080 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 137412078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175914097920).

137412078080 is an abundant number, since it is smaller than the sum of its proper divisors (214416117760).

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

137412078080 is an equidigital number, since it uses as much as digits as its factorization.

137412078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59790 (or 59774 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 137412078080 in words is "one hundred thirty-seven billion, four hundred twelve million, seventy-eight thousand, eighty".