137715837280 has 192 divisors, whose sum is σ = 378162183168. Its totient is φ = 46417029120.

The previous prime is 137715837257. The next prime is 137715837283. The reversal of 137715837280 is 82738517731.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137715837283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29658639 + ... + 29663281.

It is an arithmetic number, because the mean of its divisors is an integer number (1969594704).

Almost surely, 2^137715837280 is an apocalyptic number.

137715837280 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 137715837280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189081091584).

137715837280 is an abundant number, since it is smaller than the sum of its proper divisors (240446345888).

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

137715837280 is a wasteful number, since it uses less digits than its factorization.

137715837280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 137715837280 in words is "one hundred thirty-seven billion, seven hundred fifteen million, eight hundred thirty-seven thousand, two hundred eighty".