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136894613760 = 283551034273
BaseRepresentation
bin111111101111110001…
…1100000100100000000
3111002100102100220200000
41333133203200210000
54220330010120020
6142515530400000
712614243006052
oct1773743404400
9432312326600
10136894613760
1153069493533
1222645890000
13cba83cc448
1468a90318d2
1538632b2090
hex1fdf8e0900

136894613760 has 432 divisors, whose sum is σ = 496068203904. Its totient is φ = 36142350336.

The previous prime is 136894613741. The next prime is 136894613789. The reversal of 136894613760 is 67316498631.

It is a happy number.

136894613760 is a `hidden beast` number, since 1 + 36 + 89 + 461 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 136894613697 and 136894613706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32034984 + ... + 32039256.

Almost surely, 2136894613760 is an apocalyptic number.

136894613760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136894613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248034101952).

136894613760 is an abundant number, since it is smaller than the sum of its proper divisors (359173590144).

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

136894613760 is an equidigital number, since it uses as much as digits as its factorization.

136894613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 136894613760 in words is "one hundred thirty-six billion, eight hundred ninety-four million, six hundred thirteen thousand, seven hundred sixty".