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135720537 = 31741471381
BaseRepresentation
bin10000001011011…
…10111001011001
3100110101022120120
420011232321121
5234221024122
621244543453
73235414461
oct1005567131
9313338516
10135720537
116a679937
1239551b89
132216c514
141404cba1
15bdad75c
hex816ee59

135720537 has 32 divisors (see below), whose sum is σ = 200600064. Its totient is φ = 81254400.

The previous prime is 135720523. The next prime is 135720583. The reversal of 135720537 is 735027531.

135720537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135720537 - 210 = 135719513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135720498 and 135720507.

It is not an unprimeable number, because it can be changed into a prime (135720517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97587 + ... + 98967.

It is an arithmetic number, because the mean of its divisors is an integer number (6268752).

Almost surely, 2135720537 is an apocalyptic number.

135720537 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

135720537 is a deficient number, since it is larger than the sum of its proper divisors (64879527).

135720537 is a wasteful number, since it uses less digits than its factorization.

135720537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489.

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 135720537 is about 11649.9157507683. The cubic root of 135720537 is about 513.9038324327.

The spelling of 135720537 in words is "one hundred thirty-five million, seven hundred twenty thousand, five hundred thirty-seven".

Divisors: 1 3 17 41 47 51 123 141 697 799 1381 1927 2091 2397 4143 5781 23477 32759 56621 64907 70431 98277 169863 194721 962557 1103419 2661187 2887671 3310257 7983561 45240179 135720537