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137116480 = 265428489
BaseRepresentation
bin10000010110000…
…11101101000000
3100120000020110011
420023003231000
5240100211410
621334514304
73253320334
oct1013035500
9316006404
10137116480
1170442706
1239b05994
132253aa17
14142d37c4
15c08718a
hex82c3b40

137116480 has 28 divisors (see below), whose sum is σ = 326509380. Its totient is φ = 54846464.

The previous prime is 137116433. The next prime is 137116523. The reversal of 137116480 is 84611731.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 106998336 = 5488^2 + 10344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213925 + ... + 214564.

Almost surely, 2137116480 is an apocalyptic number.

137116480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137116480 is an abundant number, since it is smaller than the sum of its proper divisors (189392900).

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

137116480 is an equidigital number, since it uses as much as digits as its factorization.

137116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428506 (or 428496 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 137116480 is about 11709.6746325421. The cubic root of 137116480 is about 515.6597319977.

The spelling of 137116480 in words is "one hundred thirty-seven million, one hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 428489 856978 1713956 2142445 3427912 4284890 6855824 8569780 13711648 17139560 27423296 34279120 68558240 137116480