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135836001 = 3371767631
BaseRepresentation
bin10000001100010…
…11000101100001
3100110121011222000
420012023011201
5234233223001
621251234213
73236405220
oct1006130541
9313534860
10135836001
116a748664
12395a8969
13221acc42
141407ccb7
15bdd2a86
hex818b161

135836001 has 64 divisors (see below), whose sum is σ = 247541760. Its totient is φ = 71850240.

The previous prime is 135835981. The next prime is 135836021. The reversal of 135836001 is 100638531.

135836001 is a `hidden beast` number, since 1 + 3 + 58 + 3 + 600 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (135835981) and next prime (135836021).

It is not a de Polignac number, because 135836001 - 29 = 135835489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135836021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214956 + ... + 215586.

It is an arithmetic number, because the mean of its divisors is an integer number (3867840).

Almost surely, 2135836001 is an apocalyptic number.

It is an amenable number.

135836001 is a deficient number, since it is larger than the sum of its proper divisors (111705759).

135836001 is a wasteful number, since it uses less digits than its factorization.

135836001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 135836001 is about 11654.8702695483. The cubic root of 135836001 is about 514.0495253747.

The spelling of 135836001 in words is "one hundred thirty-five million, eight hundred thirty-six thousand, one".

Divisors: 1 3 7 9 17 21 27 51 63 67 119 153 189 201 357 459 469 603 631 1071 1139 1407 1809 1893 3213 3417 4221 4417 5679 7973 10251 10727 12663 13251 17037 23919 30753 32181 39753 42277 71757 75089 96543 119259 126831 215271 225267 289629 295939 380493 675801 718709 887817 1141479 2027403 2156127 2663451 5030963 6468381 7990353 15092889 19405143 45278667 135836001