137760480 has 384 divisors, whose sum is σ = 568995840. Its totient is φ = 30689280.

The previous prime is 137760473. The next prime is 137760521. The reversal of 137760480 is 84067731.

137760480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 617649 + ... + 617871.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 2^137760480 is an apocalyptic number.

137760480 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 137760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284497920).

137760480 is an abundant number, since it is smaller than the sum of its proper divisors (431235360).

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

137760480 is a wasteful number, since it uses less digits than its factorization.

137760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 137760480 is about 11737.1410488245. The cubic root of 137760480 is about 516.4657773754.

The spelling of 137760480 in words is "one hundred thirty-seven million, seven hundred sixty thousand, four hundred eighty".