137856798720 has 624 divisors, whose sum is σ = 505700544960. Its totient is φ = 35619471360.

The previous prime is 137856798713. The next prime is 137856798731. The reversal of 137856798720 is 27897658731.

It is a super-3 number, since 3×137856798720³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2057564127 + ... + 2057564193.

It is an arithmetic number, because the mean of its divisors is an integer number (810417540).

Almost surely, 2^137856798720 is an apocalyptic number.

137856798720 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 137856798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252850272480).

137856798720 is an abundant number, since it is smaller than the sum of its proper divisors (367843746240).

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

137856798720 is an frugal number, since it uses more digits than its factorization.

137856798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 137856798720 in words is "one hundred thirty-seven billion, eight hundred fifty-six million, seven hundred ninety-eight thousand, seven hundred twenty".