120648137760 has 288 divisors, whose sum is σ = 447715365552. Its totient is φ = 29461708800.

The previous prime is 120648137749. The next prime is 120648137773. The reversal of 120648137760 is 67731846021.

It can be written as a sum of positive squares in 8 ways, for example, as 105201625104 + 15446512656 = 324348^2 + 124284^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 839160 + ... + 972360.

Almost surely, 2^120648137760 is an apocalyptic number.

120648137760 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 120648137760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223857682776).

120648137760 is an abundant number, since it is smaller than the sum of its proper divisors (327067227792).

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

120648137760 is a wasteful number, since it uses less digits than its factorization.

120648137760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133276 (or 133265 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 120648137760 in words is "one hundred twenty billion, six hundred forty-eight million, one hundred thirty-seven thousand, seven hundred sixty".