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136775457570816 = 220310472
BaseRepresentation
bin11111000110010110000100…
…100100000000000000000000
3122221021121100210210000000000
4133012112010210000000000
5120411412114114231231
61202521440000000000
740544462225624211
oct3706260444000000
9587247323700000
10136775457570816
113a643167085049
1213410000000000
135b41b410a5aac
1425abd78a39408
1510c2c9bdd76e6
hex7c6584900000

136775457570816 has 693 divisors, whose sum is σ = 419239906615411. Its totient is φ = 44621780484096.

The previous prime is 136775457570803. The next prime is 136775457570823. The reversal of 136775457570816 is 618075754577631.

The square root of 136775457570816 is 11695104.

It is a perfect power (a square), and thus also a powerful number.

136775457570816 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 7 + 5 + 45 + 7 + 570 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

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 32 ways as a sum of consecutive naturals, for example, 2910116118505 + ... + 2910116118551.

Almost surely, 2136775457570816 is an apocalyptic number.

136775457570816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

136775457570816 is the 11695104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136775457570816

136775457570816 is an abundant number, since it is smaller than the sum of its proper divisors (282464449044595).

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

136775457570816 is an frugal number, since it uses more digits than its factorization.

136775457570816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1037232000, while the sum is 72.

The spelling of 136775457570816 in words is "one hundred thirty-six trillion, seven hundred seventy-five billion, four hundred fifty-seven million, five hundred seventy thousand, eight hundred sixteen".