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135966516 = 22374337643
BaseRepresentation
bin10000001101010…
…10111100110100
3100110211210222220
420012222330310
5234301412031
621254122340
73240460560
oct1006527464
9313753886
10135966516
116a827724
12396503b0
132222747a
14140b46a0
15be0b596
hex81aaf34

135966516 has 48 divisors (see below), whose sum is σ = 371019264. Its totient is φ = 37943136.

The previous prime is 135966511. The next prime is 135966541. The reversal of 135966516 is 615669531.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135966511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15210 + ... + 22433.

It is an arithmetic number, because the mean of its divisors is an integer number (7729568).

Almost surely, 2135966516 is an apocalyptic number.

It is an amenable number.

135966516 is an abundant number, since it is smaller than the sum of its proper divisors (235052748).

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

135966516 is a wasteful number, since it uses less digits than its factorization.

135966516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37700 (or 37698 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 135966516 is about 11660.4680866593. The cubic root of 135966516 is about 514.2141103573.

The spelling of 135966516 in words is "one hundred thirty-five million, nine hundred sixty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 37643 75286 112929 150572 225858 263501 451716 527002 790503 1054004 1581006 1618649 3162012 3237298 4855947 6474596 9711894 11330543 19423788 22661086 33991629 45322172 67983258 135966516