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137378065480 = 23530781111577
BaseRepresentation
bin111111111110001011…
…1101110110001001000
3111010121010001210202021
41333330113232301020
54222322241043410
6143035520414224
712632233201225
oct1777427566110
9433533053667
10137378065480
1153297377a07
122275b777374
13cc5460c256
14691331a94c
15389095beda
hex1ffc5eec48

137378065480 has 32 divisors (see below), whose sum is σ = 309113459640. Its totient is φ = 54948948480.

The previous prime is 137378065471. The next prime is 137378065523. The reversal of 137378065480 is 84560873731.

It can be written as a sum of positive squares in 4 ways, for example, as 75360132324 + 62017933156 = 274518^2 + 249034^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1175452 + ... + 1287028.

Almost surely, 2137378065480 is an apocalyptic number.

137378065480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137378065480 is an abundant number, since it is smaller than the sum of its proper divisors (171735394160).

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

137378065480 is a wasteful number, since it uses less digits than its factorization.

137378065480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142369 (or 142365 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 137378065480 in words is "one hundred thirty-seven billion, three hundred seventy-eight million, sixty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 30781 61562 111577 123124 153905 223154 246248 307810 446308 557885 615620 892616 1115770 1231240 2231540 4463080 3434451637 6868903274 13737806548 17172258185 27475613096 34344516370 68689032740 137378065480