137903028480 has 324 divisors, whose sum is σ = 555031179612. Its totient is φ = 31520563200.

The previous prime is 137903028463. The next prime is 137903028517. The reversal of 137903028480 is 84820309731.

137903028480 is a `hidden beast` number, since 1 + 37 + 90 + 30 + 28 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13908900096 + 123994128384 = 117936^2 + 352128^2 .

It is a super-2 number, since 2×137903028480² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 442330 + ... + 686630.

Almost surely, 2^137903028480 is an apocalyptic number.

137903028480 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 137903028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277515589806).

137903028480 is an abundant number, since it is smaller than the sum of its proper divisors (417128151132).

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

137903028480 is a wasteful number, since it uses less digits than its factorization.

137903028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244342 (or 244318 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 137903028480 in words is "one hundred thirty-seven billion, nine hundred three million, twenty-eight thousand, four hundred eighty".