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135457160580756 = 22327537528415003
BaseRepresentation
bin11110110011001010010011…
…111100000100111010010100
3122202121120121102102010222100
4132303022103330010322110
5120223312231102041011
61200032054400202100
740350312500245260
oct3663122374047224
9582546542363870
10135457160580756
113a185071872473
1213238609009330
135a7772b395321
1425642394350a0
15109d8419e1d56
hex7b3293f04e94

135457160580756 has 36 divisors (see below), whose sum is σ = 391320686122912. Its totient is φ = 38702045880144.

The previous prime is 135457160580727. The next prime is 135457160580817. The reversal of 135457160580756 is 657085061754531.

135457160580756 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 571 + 6 + 0 + 5 + 8 + 0 + 7 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 135457160580693 and 135457160580702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268764207250 + ... + 268764207753.

Almost surely, 2135457160580756 is an apocalyptic number.

It is an amenable number.

135457160580756 is an abundant number, since it is smaller than the sum of its proper divisors (255863525542156).

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

135457160580756 is a wasteful number, since it uses less digits than its factorization.

135457160580756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537528415020 (or 537528415015 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 63.

The spelling of 135457160580756 in words is "one hundred thirty-five trillion, four hundred fifty-seven billion, one hundred sixty million, five hundred eighty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 537528415003 1075056830006 1612585245009 2150113660012 3225170490018 3762698905021 4837755735027 6450340980036 7525397810042 9675511470054 11288096715063 15050795620084 19351022940108 22576193430126 33864290145189 45152386860252 67728580290378 135457160580756